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If \(4 < 7 - 2x < 12\), how many integer values of \(x

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by Brent@GMATPrepNow » Thu Nov 28, 2019 6:29 am
AAPL wrote:Economist GMAT

If \(4 < 7 - 2x < 12\), how many integer values of \(x\) are there?

A. 6
B. 4
C. 2
D. 1
E. 0

OA B
GIVEN: 4 < 7 - 2x < 12
Subtract 7 from all sides to get: -3 < -2x < 5
Divide all sides by -2 to get: 1.5 > x > -2.5 [ since I divided both sides of the inequality by a NEGATIVE value, I had to REVERSE the direction of the inequality symbols]

If x is an INTEGER that is BETWEEN -2.5 and 1.5, then x CAN equal -2, -1, 0 or 1 (4 options)

Answer: B

Cheers,
Brent
Brent Hanneson - Creator of GMATPrepNow.com
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