x2 - y2 = (x + y)(x - y) for all x, y ∈ R. State which of the following sentence is a statement. Justify your answer if it is a statement. Write down its truth value.

Exercise 1.1 | Q 17 | Page 3

State which of the following sentence is a statement. Justify your answer if it is a statement. Write down its truth value.

x2 - y2 = (x + y)(x - y) for all x, y ∈ R.

SOLUTION

It is a statement which is true. Hence, it’s truth value is T.