Question

State whether the following statement is true or false:

If a < b, and c > 0, then a – c > b – c where a, b, c and d are real numbers and c ≠ 0.

Answer 1

This statement is false.

Explanation:

If a < b ⇒ a – c < b – c  ...(Since, c > 0)

Given,

a < b and c > 0

Subtracting both sides by c we get,

a - c < b - c [As c is a positive number.]

Hence, the statement is false.