Question

If $p$: “roses are red” and $q$: “the sun is a star”.Then, the verbal translation of$(~p)\vee q$ is

• A. roses are not red and the Sun is not a star
• B. it is not true that roses are red or the Sun is not a star
• C. it is not true that roses are red and the Sun is a star
• D. roses are not red or the Sun is a star

Answer 1

The correct option is D

roses are not red or the Sun is a star

Explanation for the correct option

From the given information we say that $p$ stands for roses are red.

Then, $~p$ means that roses are not red.

Now, the $q$ stands for that the sun is a star.

The sign $\vee$ means or.

So, the statement $(~p)\vee q$ means that roses are not red or the sun is a star.

Hence option (D) is the correct answer.