Question

If $p:Theearthisround,q:3+4=7$ then $\left(~p\right)\vee \left(~q\right)$ is

• A. It is not that the earth is round or $3+4=7$
• B. The earth is round and $3+4=7$
• C. It is not that the earth is round or it is not that $3+4=7$
• D. The earth is round or $3+4=7$
• E. The earth is round or it is not that $3+4=7$

Answer 1

The correct option is C

It is not that the earth is round or it is not that $3+4=7$

Explanation for the correct option

The given statement $p$ implies that the earth is round then $~p$ implies that the earth is not round.

Similarly, the statement $q$ implies that $3+4=7$ then $~q$ implies that it is not that the $3+4=7$.

The symbol $\vee$ stands for ‘or’.

Then, the statement $\left(~p\right)\vee \left(~q\right)$ means it is not that the earth is round or it is not that $3+4=7$.

Hence, the correct option is (C).