Question

(a) Giving reasons in support of your answers decide if the two compound statements given below are equivalent statements : (i) If Ram is 21 years old, then he has right to vote. (ii) Ram is not 21 years old, then he has a right to vote.​

Answer 1

Answer:

ram can vote he is age is 21

ram is not 21 years old but he has a right to vote because he is above 18

Answer 2

Answer:

let the statement p= Ram is 21 years old

and statement q= He has a right to vote

the ~p= Ram is not 21 years old

The given compound statement is an if-then statement.

For two compound statements to be equivalent their truth tables should be same.

But the truth tables of the given compound statements are not same.

Therefore the given compound statements are not equivalent.