SOLUTION: If the statement is true for all integer values of p and q, explain why. If it isn�t true, give a counterexample. a. /p/is positive. ( with straight lines though not /) b. -q

Question 450586: If the statement is true for all integer values of p and q,
explain why. If it isn�t true, give a counterexample.
a. /p/is positive. ( with straight lines though not /)
b. -q is negative.
c. If p is the opposite of q, p+q=0
Thank you
Answer by richard1234(7193) (Show Source): You can put this solution on YOUR website!
a: |p| is positive is not always true. Note that p could equal 0, and |0| = 0, which is not positive.

b: -q is negative is also not always true, since q could be negative. For example, if q = -1, then -q = -(-1) = 1.

c: This must always be true. If p = -q, then p + q = (-q) + q = 0 (for all values p,q with p = -q)
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