GreenlightTestPrep wrote:

If \(-2 < x \leq {5}\), then which of the following MUST be true?

A) \(-1 < x^2 < 16\)

B) \(4 < x^2 \leq {25}\)

C) \(0 \leq {x^2} \leq {16}\)

D) \(0 < x^2 \leq {25}\)

E) \(-4 \leq {x^2} < 36\)

If -2 < x

< 5, then it's

possible that x = 5, in which case x² = 25

In other words, it's

possible that x² = 25

When we check the answer choices, we see that...

Answer choice A says that x² < 16. In other words, it says that x² cannot equal 25. ELIMINATE A

Answer choice C says that x²

< 16. In other words, it says that x² cannot equal 25. ELIMINATE C

Also, if -2 < x

< 5, then it's possible that x = 0, in which case x² = 0

In other words, it's

possible that x² = 0

When we check the remaining answer choices, we see that...

Answer choice B says that 4 < x². In other words, it says that x² cannot equal 0. ELIMINATE B

Answer choice D says that 0 < x². In other words, it says that x² cannot equal 0. ELIMINATE D

We're left with 1 answer choice...E

Cheers,

Brent

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Brent Hanneson – Creator of greenlighttestprep.com

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