If A = {2, 3, 4, 5, 6, 7, 8}, determine the truth value of the following statement. ∀ x ∈ A, x2 < 18.

QUESTION

Miscellaneous Exercise 1 | Q 4.21 | Page 34

If A = {2, 3, 4, 5, 6, 7, 8}, determine the truth value of the following statement.

∀ x ∈ A, x² < 18.

SOLUTION

For x = 5, x² = 5² = 25 < 18

∴ x = 5 does not satisfies the equation x² < 18.

∴ The given statement is false.

∴ Its truth value is F.