Vincen wrote:Is p positive?
(1) |p - 4| = 6
(2) 10 - p > 0
Statement One Alone:
|p - 4| = 6
We first can solve for p when (p - 4) is positive and then when it is negative.
When (p - 4) is positive:
p - 4 = 6
p = 10
When p - 4 is negative:
-(p - 4) = 6
-p + 4 = 6
-p = 2
p = -2
Since p = 10 or -2, we cannot determine whether p is positive. Statement one alone is not sufficient to answer the question.
Statement Two Alone:
10 - p > 0
We see that 10 > p, or equivalently, p < 10. Since p is less than 10, p could be positive or negative. Statement two alone is not sufficient to answer the question.
Statements One and Two Together:
Using the information in statements one and two, we know that p must equal -2, since p is less than 10. Thus, p is NOT positive.
Answer:
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