Let's take each statement one by one.Vincen wrote:If \(-10 < k < 10\), is \(k > 0 ?\)
\( (1) \quad \dfrac{1}{k} > 0\)
\( (2) \quad k^2 > 0\)
[spoiler]OA=A[/spoiler]
Source: Official Guide
\( (1) \quad \dfrac{1}{k} > 0\)
Only a positive number can be greater than 0. Since 1/k > 0, we see that 1/k is a positive number. Thus, k is positive or k > 0. The answer is yes. Sufficient.
\( (2) \quad k^2 > 0\)
Case 1: Say = 2, then k^2 = 4 > 0. k > 0. The answer is yes.
Case 2: Say = -2, then k^2 = 4 > 0. k < 0. The answer is no.
No unique answer. Insufficient.
The correct answer: A
Hope this helps!
-Jay
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