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The diagram represents three statements about animals at the zoo: p, q, and r.
For how many animals is (p ∨ q) ∧ r true?
15
17
20
22

I thought it was 22 but I was wrong. Can someone tell me what's the answer and why? thank you!

The diagram represents three statements about animals at the zoo p q and r For how many animals is p q r true 15 17 20 22 I thought it was 22 but I was wrong Ca class=

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SaniShahbaz

Answer:

15 is the total number of animals for which (p ∨ q) ∧ r true.

Step-by-step explanation:

From the diagram it is clear that

p contains {2, 5, 8, 9}

q contains {2, 4, 7, 5}

r contains {2, 4, 6, 9}

p ∨ q is the union of p and q which include all the animals which are in p, in q, or in both p and q.

Note: p ∨ q can not have duplicate animals

So,

p ∨ q = {2, 4, 5, 7, 8, 9}

(p ∨ q) ∧ r contains the animals which need to be common in both (p ∨ q) and r.

As

p ∨ q = {2, 4, 5, 7, 8, 9}

r = {2, 4, 6, 9}

So,

(p ∨ q) ∧ r = {2, 4, 9}

As

[tex]2 + 4 + 9 = 15[/tex]

Therefore, 15 is the total number of animals for which (p ∨ q) ∧ r true.

Keywords: union, and operation, or operation

Learn more about union, and operation, or operation from brainly.com/question/13637539

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Answer:

15

Step-by-step explanation:

I took the test on edge and got it right

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