EXERCISE 1.2Q 2.3 PAGE 6
Write the truth value of the following statement.
A quadratic equation has two distinct roots or 6 has three prime factors.
Write the truth value of the following statement.
A quadratic equation has two distinct roots or 6 has three prime factors.
SOLUTION
Let p : A quadratic equation has two distinct roots.
q : 6 has three prime factors.
The truth values of p and q are F and F respectively.
The given statement in symbolic form is p ∨ q.
∴ p ∨ q ≡ F ∨ F ≡ F
∴ Truth value of the given statement is F.
Let p : A quadratic equation has two distinct roots.
q : 6 has three prime factors.
The truth values of p and q are F and F respectively.
The given statement in symbolic form is p ∨ q.
∴ p ∨ q ≡ F ∨ F ≡ F
∴ Truth value of the given statement is F.