Question

25) The statement "if a, b, and c are integer numbers with a > b, then a + c> b+c", is true

(a) ALWAYS, (b) NEVER, or (c) SOMETIMES. Support your answer numerically.

Answer 1

Always

Explanation:

Because adding the same value to both sides of an inequality doesn't change the nature of the inequality, the statement is always true.

For example, suppose a = 1, b = 0, and c = 2.

Then a > b.

a+c=3 and b+c=2, and thus a+c>b+c as well.