Question

If p 0, and p + q = r, which statement about r is true?

A) |r| = |q|
B) r |0|
C) r |q|
And explain how you get that answer.

Answer 1

The statement about r that is true is A) |r| = |q|.

Step-by-step explanation:

The given equation is p + q = r.

To determine which statement about r is true, we can substitute different values of p and q into the equation and evaluate r.

1. If we let p = 0 and q = 0, we get 0 + 0 = 0, which means that r must also be 0.
2. Using the equation p + q = r, we can see that the absolute value of r (|r|) is equal to the absolute value of q (|q|).
3. Therefore, the correct statement is A) |r| = |q|.