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If |4x−4|=|2x+30|, which of the following could be a value of x?

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If |4x−4|=|2x+30|, which of the following could be a value of x? [#permalink]

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New post 04 May 2016, 01:46
2
8
00:00
A
B
C
D
E

Difficulty:

  25% (medium)

Question Stats:

76% (01:22) correct 24% (01:18) wrong based on 481 sessions

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Re: If |4x−4|=|2x+30|, which of the following could be a value of x? [#permalink]

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New post 04 May 2016, 20:31
4x - 4 = 2x + 30 or 4x - 4 = -2x - 30
2x = 34 or 6x = -26
x = 17 or x = -13/3

Answer: C
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Re: If |4x−4|=|2x+30|, which of the following could be a value of x? [#permalink]

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New post 04 May 2016, 21:01
4
Bunuel wrote:
If |4x−4|=|2x+30|, which of the following could be a value of x?

A. –17
B. −21/2
C. −13/3
D. 2
E. 15


Just plug in the options.
Options (A), (D) and (E) are quite easy to see. They don't give equal values on LHS and RHS.

With (B), (C), plug in values close to these instead of these fractions.

(B) -21/2
Try x = -10.
You get 50 = 10
The difference between LHS and RHS is quite large so x will not be -21/2. As we go toward the point where LHS = RHS, the difference between them will keep decreasing. Hence a point very close to the actual value of x will have little difference between LHS and RHS.

(C) -13/3
Try x = -4
You get 20 = 22
These are quite close so this will be the answer. You can plug it in to confirm.

Answer (C)
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If |4x−4|=|2x+30|, which of the following could be a value of x? [#permalink]

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New post 23 Sep 2016, 12:22
|4x−4|=|2x+30|; 2*|2x-2|=2*|x+15|; |2x-2|=|x+15|

For me the fastest way is to just open the brackets; we have 2 ways to do it

1) 2x-2=x+15 => x=17 => NO
2) 2-2x=x+15=> x=-13/3 => Answer C

for me opening brackets 2 times and solving for such easy numbers is faster than plugging in any of given answers

Hope this helps
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Re: If |4x−4|=|2x+30|, which of the following could be a value of x? [#permalink]

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New post 07 Mar 2018, 12:20
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Re: If |4x−4|=|2x+30|, which of the following could be a value of x?   [#permalink] 07 Mar 2018, 12:20
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If |4x−4|=|2x+30|, which of the following could be a value of x?

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