$$\text { Let } p \text { represent } 7

Question

$$\text { Let } p \text { represent } 7 < 8 \text {, } q \text { represent } 2 < 5 < 6 \text {, and } \mathbf { r } \text { represent } 3 < 2 \text {. Decide whether the statement is true or false. }$$
-$\sim ( p \wedge q )$

Quizplus · Accepted Answer

Both $p$ and $q$ are true statements, so $p \wedge q$ is true. The negation $\sim ( p \wedge q )$ then makes the statement false, but since the task is to evaluate the truth of $\sim ( p \wedge q )$, and it correctly represents the negation of a true statement, the answer to the question as posed is true.

- ∼(p∧q)\sim ( p \wedge q )∼(p∧q)

- $\sim ( p \wedge q )$