Question

the diagram represents three statements about animals at the zoo: p, q, and r. for how many animals is $(p\vee q)\wedge r$ true? 15 17 20 22

Explanation:

Step1: Analyze the logical expression

The expression \((p\vee q)\wedge r\) means elements that are in \(r\) and also in either \(p\) or \(q\).

Step2: Identify the relevant regions

For region in \(r\) and either \(p\) or \(q\), we consider the regions of \(r\) that overlap with \(p\) (i.e., \(9 + 2\)) and \(r\) that overlap with \(q\) (i.e., \(4+2\)). But we should not double - count the triple - overlap region (\(2\)). So we calculate \(9 + 4+ 2\).

$$9 + 4+2=15$$

Answer:

15