Question

Let $p$ : roses are red and q : the sun is a star. Then, the verbal translation of $(-\text{ }p) \vee q$ 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 not a star
• D. roses are not red or the sun is a star

Answer 1

Answer: (C)

it is not true that roses are red and the sun is not a star

Answer 2

p : roses are red q : the sun is a star $\tilde{\ }p=$ roses are not red $(\tilde{\ }p)\vee q=$ roses are not red or the sun is a star this sentence can also be written as, It is not true that roses are red or the sun is not a star but the first statement is most suitable.