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

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

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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

OA A

Source: Official Guide

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BTGmoderatorDC 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

OA A

Source: Official Guide
GIVEN: x + 5 > 2
Subtract 5 from both sides of the inequality to get: x > -3
Or we can write this as -3 < x

GIVEN: x - 3 < 7
Add 3 to both sides of the inequality to get: x < 10

COMBINE the inequalities to get: -3 < x < 10

Answer: A

Cheers,
Brent

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BTGmoderatorDC 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.

Answer: A

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Scott Woodbury-Stewart Founder and CEO

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