9
AssignmentMultiple Select

Sets and Venn Diagrams

Question 9 • TN-Algebra II B SC 26-27 (For Credit)

Suppose statement p is true but statement q is false. Which of these compound statements are true? Check all that apply.p ∧ qp ∨ qp → qq → pp ↔ qq ↔ p

Answer
A
p ∧ q
B
p ∨ q
C
p → q
D
q → p
E
p ↔ q
F
q ↔ p

Explanation

Since p is true and q is false, p ∨ q is true because at least one statement is true. The implication q → p is also true: a false premise makes an implication true. The other statements are false: p ∧ q requires both to be true, p → q has a true premise and false conclusion, and the biconditionals require p and q to have the same truth value.

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