GreenlightTestPrep wrote:
If −2<x≤5, then which of the following MUST be true?
A) −1<x2<16
B) 4<x2≤25
C) 0≤x2≤16
D) 0<x2≤25
E) −4≤x2<36
Looks a lot easier than it is!
This question lends itself to
testing values, so let's see where that takes us...
If -2 < x
< 5, then it could be the case that
x = 5, in which case
x² = 25In other words, it's
possible that
x² = 25Check the answer choices...
Answer choice A says x² < 16. In other words, it says that x² can't equal 25. ELIMINATE A
Answer choice C says x²
< 16. In other words, it says that x² can't equal 25. ELIMINATE C
Also, if -2 < x
< 5, then it could be the case that that
x = 0, in which case
x² = 0In other words, it's
possible that
x² = 0When we check the remaining answer choices, we see that...
Answer choice B (4 < x²) says x² can't equal 0. ELIMINATE B
Answer choice D (0 < x²) says x² can't equal 0. ELIMINATE D
We're left with 1 answer choice...E
Cheers,
Brent