Carcass wrote:
If p is a negative integer, which of the following must be true of \(\frac{1}{p}\) ?
A. \(\frac{1}{p}>-1\)
B. \(\frac{1}{p}<-1\)
C. \(\frac{1}{p}\neq{-1}\)
D. \(\frac{1}{p}\geq{-1}\)
E. \(\frac{1}{p}\leq{-1}\)
Kudos for the right answer and explanation
TEST some values of p
If p = -1, then 1/p = 1/(-1) = -1
Check the answers:
A. \(\frac{1}{p}>-1\) NOT TRUE - ELIMINATE
B. \(\frac{1}{p}<-1\) NOT TRUE - ELIMINATE
C. \(\frac{1}{p}\neq{-1}\) NOT TRUE - ELIMINATE
D. \(\frac{1}{p}\geq{-1}\) TRUE - KEEP
E. \(\frac{1}{p}\leq{-1}\) TRUE - KEEP
Try a different value of p
If p = -2, then 1/p = 1/(-2) = -0.5
Check the REMAINING answers:
D. \(\frac{1}{p}\geq{-1}\) TRUE - KEEP
E. \(\frac{1}{p}\leq{-1}\) NOT TRUE - ELIMINATE
Answer: D
Cheers,
Brent