Question

If p : Every natural number is a real number.
q : Every integer is a complex number. Then truth values of p → q and p ↔ q are ______ and ______ respectively.

Options

• F, F

• T, F

• F, T

• T, T

Answer 1

If p : Every natural number is a real number.
q : Every integer is a complex number. Then truth values of p → q and p ↔ q are T and T respectively.

Explanation:

Since both the given statements p and q have truth values T,

∴ p → q ≡ T → T ≡ T and 

p ↔ q ≡ T ↔ T ≡ T