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If x + 5 > 2 and x - 3 < 7, the value of x must be between

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If x + 5 > 2 and x - 3 < 7, the value of x must be between [#permalink]

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If x + 5 > 2 and x - 3 < 7, the value of x must be between which of the following pairs of numbers?

(A) -3 and 10
(B) -3 and 4
(C) 2 and 7
(D) 3 and 4
(E) 3 and 10
[Reveal] Spoiler: OA
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Re: If x + 5 > 2 and x - 3 < 7, the value of x must be between [#permalink]

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Re: If x + 5 > 2 and x - 3 < 7, the value of x must be between [#permalink]

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Re: If x + 5 > 2 and x - 3 < 7, the value of x must be between [#permalink]

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New post 27 May 2016, 05:40
Walkabout wrote:
If x + 5 > 2 and x - 3 < 7, the value of x must be between which of the following pairs of numbers?

(A) -3 and 10
(B) -3 and 4
(C) 2 and 7
(D) 3 and 4
(E) 3 and 10


Let’s isolate x in each inequality.

x + 5 > 2

x > -3

Next we simplify x – 3 < 7.

x – 3 < 7

x < 10

We know that x is greater than -3 and less than 10.

The answer is A.
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Re: If x + 5 > 2 and x - 3 < 7, the value of x must be between [#permalink]

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New post 27 May 2016, 05:57
Walkabout wrote:
If x + 5 > 2 and x - 3 < 7, the value of x must be between which of the following pairs of numbers?

(A) -3 and 10
(B) -3 and 4
(C) 2 and 7
(D) 3 and 4
(E) 3 and 10


x+5 > 2
taking 5 on other side, we get: x > 2-5; x > -3

x - 3 < 7

taking -3 on other side, we get: x > 3+7; x > 10

x lies between -3 and 10

Option A is correct answer.
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Re: If x + 5 > 2 and x - 3 < 7, the value of x must be between [#permalink]

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New post 05 Jul 2016, 06:24
Walkabout wrote:
If x + 5 > 2 and x - 3 < 7, the value of x must be between which of the following pairs of numbers?

(A) -3 and 10
(B) -3 and 4
(C) 2 and 7
(D) 3 and 4
(E) 3 and 10




x+5>2 ==>x>-3
x-3<7 ==> x<10
-3<x<10
Re: If x + 5 > 2 and x - 3 < 7, the value of x must be between   [#permalink] 05 Jul 2016, 06:24
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