Describe and correct the errors in solving the absolute value inequality5x + 4/> 13x+4 -13 and x + 4 <13x>-17 andX<9-1722There is an arithmetic error in both rewritten inequalities. The correct solution is -9<< < 17The inequality symbols should be reversed. The correct solution is 9 > I > -17The two inequalities should be written as one inequality -13 < 3+4 < 13. The correct solution is -17 <3 <9.The compound inequalities should be joined by "or;" and both inequality symbols should be reversed. The correct solution is< 17 ore 9.

Answer:Step-by-step explanation:Given the inequality [tex]|x+4|>13[/tex], to solve, we will solve the negative and positive value of the modulus for x as shown:If the modulus is positive:[tex]x+4>13\\[/tex]subtract 4 from both sides[tex]x+4-4>13-4\\x>9[/tex]If the modulus is negative[tex]-(x+4)>13\\-x-4>13\\[/tex]Add 4 to both sides[tex]-x-4+4>13+4\\-x>17[/tex]Multiply both sides by -1[tex]-(-x)<-17\\x<-17\\-17>x[/tex]Combine both inequalities. If: [tex]x>9\\[/tex]Combining with [tex]-17>x[/tex] will give:[tex]-17>x>9[/tex]

Mathematics High School

Describe and correct the errors in solving the absolute value inequality

х

5x + 4/> 13

x+4 -13 and x + 4 <13

x>-17 and

X<9

-17
22

There is an arithmetic error in both rewritten inequalities. The correct solution is -9<< < 17

The inequality symbols should be reversed. The correct solution is 9 > I > -17

The two inequalities should be written as one inequality -13 < 3+4 < 13. The correct solution is -17 <3 <9.

The compound inequalities should be joined by "or;" and both inequality symbols should be reversed. The correct solution is

< 17 ore 9.

Answers

Answer 1

Answer:

Step-by-step explanation:

Given the inequality [tex]|x+4|>13[/tex], to solve, we will solve the negative and positive value of the modulus for x as shown:

If the modulus is positive:

[tex]x+4>13\\[/tex]

subtract 4 from both sides

[tex]x+4-4>13-4\\x>9[/tex]

If the modulus is negative

[tex]-(x+4)>13\\-x-4>13\\[/tex]

Add 4 to both sides

[tex]-x-4+4>13+4\\-x>17[/tex]

Multiply both sides by -1

[tex]-(-x)<-17\\x<-17\\-17>x[/tex]

Combine both inequalities. If:

[tex]x>9\\[/tex]

Combining with [tex]-17>x[/tex] will give:

[tex]-17>x>9[/tex]

Related Questions

The two angles below are complementary. Solve for r and round your
answer to the nearest tenth.

Answers

Answer:

Step-by-step explanation:

helppp please 4-6 !!!

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Answer: -2 ( negative two)

What is the image point of (-1,1) after a translation right 2 units and down 1 unit

Answers

Answer:

(0,1)

Step-by-step explanation:

Answer:

I think (-2,3) is

the answer

Find the value of x.

Answers

Answer:

x=55

Step-by-step explanation:

you have to add the three angles to get 180 first. 180- 21-34=125.

then take the missing angle inside the triangle (125) and subtract by 180.

180-125=55

Answer:

x = 55

Step-by-step explanation:

We know that triangles add up to 180 degrees, so let's start with that. Keep in mind that "y" will be the third degree of the triangle.

21+34+y = 180

55+y = 180

y = 125

Okay, now we know that the third degree is 125. Also, the line that 125 and x are on is a straight line. All straight lines are 180 degrees. Subtract 180 and 125 to get your answer.

180-125 = 55

So your final answer will be x=55, hope this helped!

HELP PLEASE

What is the result when the number 40 is increased by 50%?

Answers

Answer: really 60

Step-by-step explanation:

60 you take half of what you have which is 20 then add that to what you have

A toy store is having a sale. A video game system has an original price of $99. It is on sale for 40% off the original price. Find the sale price of the game system. Round to the nearest cent.

Answers

Answer:

The price would now be $59.40

Step-by-step explanation:

$59.4 is the sale price of the game system.

What is selling price?

The selling price is how much a buyer pays for a product or service.

Given,

A toy store is having a sale. A video game system has an original price of $99.

It is on sale for 40% off the original price.

We need to find how much 40% of $99.

40/100×99=0.4×99=39.6.

So sale price of the game system is $99-$39.6=$59.4.

Therefore sale price of the game system is $59.4.

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What is the recursive for 2, 8, 14, 20

Answers

Answer:

It's linear and it stays constant with every number it increases by 6 you will notice that almost immediately therefore making this simplistic and unworthy of my time no offense I'm only here for the points.

Step-by-step explanation: I hope this helps!

The recursive formula is [tex]a_n\\[/tex] = 6n - 4.

What is Recursive formula?

Any term of a series can be defined by its preceding term in a recursive formula (s).

A recursive formula consists of two parts: a declaration of the first term and a declaration of the formula connecting the succeeding terms.

For example: The recursive formula of an arithmetic sequence is,

an = an-1 + d.

Given:

2, 8, 14, 20

The above data shows Arithmetic Progression series.

a = 2

d = 8-2

d= 6

So, using Arithmetic Progression

[tex]a_n[/tex] = a+ (n- 1) d

[tex]a_n\\[/tex] = 2+ (n- 1)6

[tex]a_n\\[/tex] = 2+ 6n - 6

[tex]a_n\\[/tex] = 6n - 4

Hence, the recursive formula is [tex]a_n\\[/tex] = 6n - 4.

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If and represent rational expressions and b0 and y0, what is true of their product? Select three options.

The product is equivalent to .
The product is a rational expression.
The product is equivalent to .
The product is the ratio of ax and by.
The product is equivalent to .

Answers

The product with be rational expression

Answer:

B,C,D

Step-by-step explanation:

i took the test

Which angle has a measure equal to the sum
of m_SQR and mzQRS?
O ZRSC
O LSRE
O ZDQS
O ZQSR

Answers

Answer:< RSC

Step-by-step explanation:

The angle has a measure equal to the sum of m <SQR and m <QRS is

m <RSC.

The correct option is A.

We have the information from which we can write

<SQR and < QRS are two interior angles of triangle QRS

Then, m<QSR = 180 - (sum of other 2 angles)

m<QSR = 180 - (m<SQR + m<QRS) (Angle sum property)

Also, m<RSC = 180 - m<QSR

Then <RSC = (m<SQR + m<QRS)

Thus, the ideal solution is A.

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Write one-page given the following scenario, determine if the salesman’s conjecture is logical? Why or why not? Is it true? Why or why not? Provide a counterexample that would disprove his hypothesis:

A car salesman sold 5 used cars to five different couples. He noticed that each couple was under 30 years old. The following day, he sold a new, luxury car to a couple in their 60’s. The salesman determined that only younger couples by used cars.

Answers

Answer:

His conjecture is not logical.

Step-by-step explanation:

If he sold a car to a couple above 30, how did he think only younger people bought cars? He is not logical.

Select all of the following expressions that are equal to 2.5.

-1 + (-1.5)
-2(-1.25)
(-0.5) 2
5 ÷ 2

Answers

Answer:

The second one, -2(-1.25)

Step-by-step explanation:

-1+(-1.5)
-2(-1.25)
5 divided 2

thats all, hope it helps you!!❤️

Evaluate the expression for a = 3, b =12, and c = 4.

8ab/2bc

PLZ I NEED HELP!!!

Answers

8(3)(12) is 288. 2(12)(4) is 96. 288/96 is 3. Answer is 3

Help with math. please

Answers

Answer:

B. 1 9/10 (19/10)

Step-by-step explanation:

3 4/5 is equal to 19/5

We would need to divide 19/5 by 2

Make 2 a fraction. 2/1

Flip the number: 1/2

Multiply 19/5 by 1/2

19/10

Simplify.

1 9/10

Hope I helped :)

Please consider Brainliest :)

Simplify (4.5)(−9)(−1.8)

Answers

The answer is 72.9:)

Mandi has $40 to spend at the fair. The admission to get into the fair is $5 and each ride is $1.75
Write an inequality to represent the situation using r for the number of rides

Answers

1.75r +5=40

I dont know why i did this i need to be doing my work

Daniela, Kieu, and Cameron decide to go to the movies one hot summer afternoon. The theater is having a summer special called Three Go Free. They will get free movie tickets if they each buy a large popcorn and a large soft drink. They take the deal and spend a total of $22.50 on large popcorns and soft drinks. The next week, they go back again, only this time, they each pay $8 for a ticket, they each get a large soft drink, but they share one large bucket of popcorn. This return trip costs them a total of$37.50. Use systems of equations to find the price of a large soft drink and the price of a large bucket of popcorn!

Answers

Answer:

Price of a large soft drink = $3

Price of large bucket of popcorn = $4.5

Step-by-step explanation:

Let the cost of one large popcorn = $P

And the cost of one large soft drink = $S

If Daniela, Kieu and Cameron avail the deal of Three Go Free,

3P + 3S = 22.50

P + S = 7.5 -----(1)

Next time they each pay $8 for a ticket, they each get a large soft drink but they share one large bucket of popcorn.

This trip cost them = $37.50

Cost of 3 tickets + Cost of 3 large soft drinks + Cost of one large bucket of popcorn = 37.50

(3 × 8) + (3 × S) + P = 37.5

24 + 3S + P = 37.5

3S + P = 13.5 -----(2)

By subtracting equation (1) from equation (2),

(3S + P) - (P + S) = 13.5 - 7.5

2S = 6

S = $3

From equation (1),

P + 3 = 7.5

P = $4.5

Therefore, price of a large soft drink is $3 and a large bucket of popcorn is $4.5

What is another way to make 320?
Choose 1 answer:
4 hundreds plus 1 ten
2 hundreds plus 12 tens
2 hundreds plus 11 tens

Answers

Answer:

2 Hundreds plus 12 Tens

Step-by-step explanation:

Since 2 hundred equals 200, and 12 tens equals 120, the equation goes 200 + 120, which equals 320.

Solve.
24 + d = 30 fastt

Answers

The answer is 24+6=30
To get the answer subtract but 6 is your answer

All of the letters of the alphabet are placed in a bag. What is the probability of selecting a vowel?

Answers

Answer:

The probability of selecting a vowel is 5/26

Step-by-step explanation:

The probability of selecting a vowel

= number of vowels/total number of alphabets

The vowels are a,e,i,o,u = 5

Number of alphabets = 26

The probability is 5/26

-c + 5d + 7c - 11d + d - 3c

Answers

The anwser is -4c + 2d

Answer:

3c-5d

Step-by-step explanation:

if y=28 when x=168, find y when x=108.

Answers

Answer:

y=18

Step-by-step explanation:

168/28=6

108/6=18

y=18

18 because 168/28=6, so the answer would be 108/6 (18)

4.7x + 15.3x + 10.4 - 8.4

Answers

Answer:

10⋅(10x+1)

Hope this helps!

Ella babysits 3 hours each for 4 days on the fifth one she babysits for 6 hours .write an equation that shows how many hours Ella babysits for altogether ?

Answers

3*4+6
I’m sure about this

10 – 2v = -5v – 50 what is V

Answers

i think it’s v=-20 i showed you my work if that helps :)

You start your elevator ride on the ground floor (0). You first go up 8 floors, then down 6 floors. Next, you go up 3 floors and up 6 floors. Finally, you go up 7 floors and down 9 floors. On what floor does your ride end?

Answers

Answer:

Floor nine

Step-by-step explanation:

(8 - 6 )+( 3 + 6 + 7) - 9

2 + 16 - 9

18 - 9 = 9

Floor nine

Hopefully this help you

pls mark brainlest

Solve the following using the quadratic formula:

[tex]x^{2} - 9x - 45 = 0[/tex]

Answers

Answer:

AAAAAAAAAHHHHHHHHHHHHHH

Step-by-step explanation: I sorry but I can't answer this and still want to comment. See you this afternoon.

Answer:

x^2 - 9x-45=0

Step-by-step explanation:

x^2 - 9x-45=0

Grace is shopping for a dress for her birthday party the dress she wants to buy is regularly $30.00 but is on sale for 25% off what is the sale price of the dress

Answers

Answer:

$22.50

Step-by-step explanation: 25% of 30 is 7.5 so 30 - 7.5

The sale price would be 22.50

Please help i’ve been here for hours so can someone please tell me what to put here

Answers

Answer:

If you divide the amount $60.20 (60.20) by 5 (amount of hours), you can find out the amount of money Andrew gets paid in dollars per hour. The quotient is 12.04, $12.04. Therefore, Andrew is payed $12.04 per hour.

Step-by-step explanation:

HOPE THIS HELPS

HAVE A GOOD DAY

STAY SAFE BYEE

❤

a=5h+60.20 i think 5 being the hours so if u plug in 2 for h you’d get 10 hours then you’d double 60.20

solve for x im not good at math

Answers

the answer would be x=9

Don’t worry I’m not either. I just did this yesterday.

negative numbers five and nine

Answers

Answer:

? -5 -9 this the answer i think

Answer:

-5, -9

Step-by-step explanation:

I'm guessing this is what you're asking for. Please be a little more descriptive :)

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