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

Algebra ->  Divisibility and Prime Numbers -> 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       Log On


   



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) About Me  (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)