SOLUTION: If p and r are integers, p does not equal 0, and p = -r, which of the following must be true? a) p>r .... b) p+r<0 .... c) p-r<0 .... d) pr<0

Algebra ->  Inequalities -> SOLUTION: If p and r are integers, p does not equal 0, and p = -r, which of the following must be true? a) p>r .... b) p+r<0 .... c) p-r<0 .... d) pr<0       Log On


   

Question 764940: If p and r are integers, p does not equal 0, and p = -r, which of the following must be true? a) p>r .... b) p+r<0 .... c) p-r<0 .... d) pr<0
Answer by ramkikk66(644) About Me  (Show Source):
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If p and r are integers, p does not equal 0, and p = -r, which of the following must be true? a) p>r .... b) p+r<0 .... c) p-r<0 .... d) pr<0 

Given that p  = -r, we can have either p as +ve and r as -ve, or r as +ve and 
p as -ve.

So we cannot conclude that p > r will be true (choice a) or p - r < 0 (choice c)

Since p = -r, p+r = 0, so choice b is also not true.

Since p and r are of opposite signs, the product pr is always -ve.

Hence d is the right option.

:)