"If x is negative, is x < -3 ?
(1) x^2 > 9
(2) x^3 < -9 "
I donot have the OA but when I solved the question, I got the answer as E. Is it correct? Could any of the experts please help?
Good inequality...
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statement(1): x^2 > 9 => x < -3 or x > 3
[spoiler]There is ambiguity here and hence, (1) alone is not sufficient[/spoiler]
statement(2): x^3 < -9 => x < -2.something
[spoiler]There is ambiguity again as it is asked whether x < -3. Hence, (2) alone is not sufficient[/spoiler]
But if we consider both the statements together, [spoiler]the common possible solution is: x < -3, which is sufficient and hence option "C"[/spoiler]
[spoiler]There is ambiguity here and hence, (1) alone is not sufficient[/spoiler]
statement(2): x^3 < -9 => x < -2.something
[spoiler]There is ambiguity again as it is asked whether x < -3. Hence, (2) alone is not sufficient[/spoiler]
But if we consider both the statements together, [spoiler]the common possible solution is: x < -3, which is sufficient and hence option "C"[/spoiler]
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Guys,
the answer is [spoiler](A)[/spoiler].
You can read it here:
https://www.beatthegmat.com/good-inequal ... tml#470202
the answer is [spoiler](A)[/spoiler].
You can read it here:
https://www.beatthegmat.com/good-inequal ... tml#470202
Aneesh Bangia
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Statement 1 works because the stem specifically mentions that x must be negative.mathbyvemuri wrote:statement(1): x^2 > 9 => x < -3 or x > 3
[spoiler]There is ambiguity here and hence, (1) alone is not sufficient[/spoiler]
statement(2): x^3 < -9 => x < -2.something
[spoiler]There is ambiguity again as it is asked whether x < -3. Hence, (2) alone is not sufficient[/spoiler]
But if we consider both the statements together, [spoiler]the common possible solution is: x < -3, which is sufficient and hence option "C"[/spoiler]
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