Write the following compound statement in terms of the simple statements p, q, a

Question

Write the following compound statement in terms of the simple statements p, q, and r.

"Married people are healthier than single people or more economically stable than single people, and children of married people do better on a variety of indicators.

p: Married people are healthier than single people.

q: Married people are more economically stable than single people.

r: Children of married people do better on a variety of indicators

(a) Write the statement in symbolic form in terms of p, q, and r.    

Choose one A,B,C, or D

A. (p v q) v r

B. (p ^ q) v r

C. (p ^ q) ^ r

D. (p v q) ^ r

(b.)   Construct a truth table for the symbolic statement in part. (a)

(c)    Use the truth table you constructed to indicate the set of conditions that make the compound statement true, or state that no such condition exist.

Choose one A, B, C, or D

A. The statement is true when p or q is true and r is true.

B. The statement is true when p, q, or r are true.

C. The statement is true when p, q, and r are true.

D. The statement is true when p and q are true or r is true.

Explanation / Answer

A.Married people are healthier than single people or  are more economically stable than single people or their Children do better on a variety of indicators

B.Married people are healthier than single people and more economically stable than single people or their Children do better on a variety of indicators

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