# 15 x 4x

## Lesson 4 homework practice solve equations with variables on each side answers

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What is the value of x? (1) 4 < x < 6 (2) |x| = 4x − 15 [#permalink]   Feb 19, 2021 8:15 am

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Question Stats:

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What is the value of x?

(1) 4 < x < 6

(2) |x| = 4x − 15

Project DS Butler Data Sufficiency (DS3)

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Re: What is the value of x? (1) 4 < x < 6 (2) |x| = 4x − 15 [#permalink]   Feb 22, 2021 8:30 am

Bunuel wrote:

What is the value of x?

(1) 4 < x < 6

(2) |x| = 4x − 15

Project DS Butler Data Sufficiency (DS3)

What is the value of x?

(1) 4 < x < 6. Clearly insufficient, x can be any number from 4 to 6, not inclusive.

(2) |x| = 4x − 15. LHS is an absolute value, which is always non negative, hence RHS must also be non-negative: $$4x-15\geq{0}$$ --> $$x\geq{\frac{15}{4}}$$ --> $$x$$ is positive, thus $$|x|=x$$ --> $$x=4x-15$$ --> $$x=5$$. Sufficient

Hope it's clear.

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What is the value of x? (1) 4 < x < 6 (2) |x| = 4x − 15 [#permalink]   Feb 19, 2021 10:30 am

Bunuel wrote:

What is the value of x?

(1) 4 < x < 6

(2) |x| = 4x − 15

Question: x = ?

Statement 1: 4 < x < 6

x could be 5 or 5.5 or 4.5 hence

NOT SUFFICIENT

Statement 2: |x| = 4x − 15

i.e. x = 4x − 15 OR -x = 4x − 15
i.e. x = 5 OR x = 3 but x = 3 doesn't satisfy |x| = 4x − 15
therefore x = 5

SUFFICIENT

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Re: What is the value of x? (1) 4 < x < 6 (2) |x| = 4x − 15 [#permalink]   Feb 20, 2021 3:25 am

What is the value of x?

(1) 4 < x < 6
x is not integer. So, can take any value between 4 and 6

Not sufficient

(2) |x| = 4x − 15
4x - 15 = x or 4x - 15 = -x
3x = 15 or 5x = 15
x = 5 or 3

x = 3 does not satisfy the equation |x| = 4x − 15

So, x = 5

Sufficient

Option B

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What is the value of x? (1) 4 < x < 6 (2) |x| = 4x − 15 [#permalink]   Feb 20, 2021 5:32 am
SOLUTION:

Statement 1=> 4 < x < 6

=> x can take any value between 4 and 6 and we cannotobtain a specific value using Statement 1 alone.

Statement 2=> |x| = 4x − 15

=> x = 4x -15 OR x = -(4x-15) = -4x +15

=> x = 5 => x=3

At x = 3 we have |x| = 4x - 15

= 4*3 - 15

=> |x| = -3

At x=5,we have |x| = 4*5 - 15

=> +5

A modulus value cannot yield negative result and hence x=3 cannot be considered a value for x.
Thus x = 5
Hence OPTION(B)

Hope this helps
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Re: What is the value of x? (1) 4 < x < 6 (2) |x| = 4x − 15 [#permalink]   Feb 20, 2021 7:53 am
What is the value of x?

Stat1:4 < x < 6, x can be 4.5, 5 or anything between 4 and 6. Not sufficient.

Stat2:|x| = 4x − 15, if x> 0, x= 5 which is okay. But if x<0, then x = 3, which doesn't satisfy, x <0. So, x = 5. Sufficient.

So, I think B.

Re: What is the value of x? (1) 4 < x < 6 (2) |x| = 4x − 15 [#permalink]

Feb 20, 2021 7:53 am

Sours: https://gmatclub.com/forum/what-is-the-value-of-x-1-4-x-6-2-x-4x-349320.html

Here we will show you how to solve 4x = 15. In other words, we will solve for x in order to find the value of x in this equation:

4x = 15

The goal is to get x by itself on the left side. First, we divide both sides by 4 like this:

 4x 4
=
 15 4

When a numerator and denominator value are the same, then you can eliminate them by crossing them out:

 x
=
 15 4

Then you are left with x by itself on the left like this:

x =
 15 4

Finally, 15 over 4 is the same as 15 divided by 4. So, we enter that into our calculator to get the final answer:

x = 3.75

Ax = B Calculator
Now you know how to solve 4x = 15. Enter another math problem here:

4x = 16
Here is the next algebra problem on our list. Check it out!

Answers are rounded to the nearest thousandth if necessary.

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## X 4x 15

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Then, as usual, he squeezed the girl's buttocks. Thank you, brother, you are my savior.

CASA DE 4,5 x 12 metros - ÁREA CHURRASCO

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He groaned in pain, but pulled them closer to him. He only glanced sideways at the others with his blue eyes. On the same gluttonous neighbors as these two of his, sucking on him and sucking naked girlfriends Larva, in this beer bar, which is separate from the whole.

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