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17 Sep 2021, 11:42
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C
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Difficulty:
35%
(medium)
Question Stats:
65% (00:58) correct
35%
(00:47)
wrong
based on 142
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Not Attempted Yet
If \(-2 < x \leq {5}\), which of the following specifies all the possible values of \(x^2\)?
A) \(-4 \leq {x^2} < 25\)
B) \(4 < x^2 \leq {25}\)
C) \(0 \leq {x^2} \leq {25}\)
D) \(-4 < x^2 \leq {25}\)
E) \(0 \leq x^2 < 25\)
A) \(-4 \leq {x^2} < 25\)
B) \(4 < x^2 \leq {25}\)
C) \(0 \leq {x^2} \leq {25}\)
D) \(-4 < x^2 \leq {25}\)
E) \(0 \leq x^2 < 25\)
17 Sep 2021, 19:30
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BrentGMATPrepNow
If \(-2 < x \leq {5}\), which of the following specifies all the possible values of \(x^2\)?
A) \(-4 \leq {x^2} < 25\)
B) \(4 < x^2 \leq {25}\)
C) \(0 \leq {x^2} \leq {25}\)
D) \(-4 < x^2 \leq {25}\)
E) \(0 \leq x^2 < 25\)
A) \(-4 \leq {x^2} < 25\)
B) \(4 < x^2 \leq {25}\)
C) \(0 \leq {x^2} \leq {25}\)
D) \(-4 < x^2 \leq {25}\)
E) \(0 \leq x^2 < 25\)
\(-2 < x \leq {5}\)
\(x^2\) has the least value of 0 and largest value will be square of largest value of |x|, so \(5^2\)
\(0\leq x^2\leq 25\)
Now, let us check the options for this range.
A) \(-4 \leq {x^2} < 25\)
Does not contain 25
B) \(4 < x^2 \leq {25}\)
Does not contain 0 to 4.
C) \(0 \leq {x^2} \leq {25}\)
Yes, contains all values.
D) \(-4 < x^2 \leq {25}\)
Contains -4 to -1, which are not possible values.
E) \(0 \leq x^2 < 25\)
Does not contain 25
C
19 May 2025, 23:39
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