Question

State whether the following statement is true or false:

If a – c > b – d; then a + d > b + c

Answer 1

This statement is true.

Explanation:

Given,

a – c > b – d

Adding both sides by (c + d) we get,

⇒ a – c + (c + d) > b – d + (c + d)

⇒ a – c + c + d > b + c – d + d

⇒ a + d > b + c