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Find the truth value of the following statement. It is not true that 3 − 7i is a real number.

EXERCISE 1.4Q 2.1    PAGE 11

Exercise 1.4 | Q 2.1 | Page 11

Find the truth value of the following statement.

It is not true that 3 − 7i is a real number.

SOLUTION

Let p : 3 – 7i is a real number.

The truth value of p is F.

The given statement in symbolic form is ~p.

∴ ~ p ≡ ~ F ≡ T

∴ Truth value of the given statement is T.

Mathematical Logic