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

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

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

Quizplus · Accepted Answer

Given $p$ is true, $q$ is true, and $r$ is false. $\sim p$ is false, but since $q$ is true, $q \vee \sim p$ is true. Thus, $(q \vee \sim p) \vee r$ is true because a true statement ORed with any other statement is true.

- (q∨∼p)∨r( q \vee \sim p ) \vee r(q∨∼p)∨r

- $( q \vee \sim p ) \vee r$