Compound Statements — Unit test Answers

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3

Let p ↔ q represent the statement "He is wearing a coat if and only if the temperature is below 30°F.”Which represents p ∧ q?

A
He is wearing a coat or the temperature is below 30°F.
B
He is wearing a coat and the temperature is below 30°F.
C
If he is wearing a coat, then the temperature is below 30°F.
D
If he is not wearing a coat, then the temperature is not below 30°F.
5

Let p: The kitchen is clean.Let q: The bedroom is clean.Which statement is true if the kitchen is clean but the bedroom is not clean?

A
If p is true, then q is true.
B
Statement q is true if and only if p is true.
C
Both p and q are true.
D
Statement p or q is true.
6

The diagram represents responses to a survey that include statements p and q.

Question illustration
A
The number of responses for which p ∧ q is 20.
B
The number of responses for which p ∨ q is 26.
C
The number of responses for which p ∧ q is 46.
D
The number of responses for which p ∨ q is 66.
8

The diagram represents two statements: p and q.

Question illustration
A
p ∨ q
B
p → q
C
q ∧ p
D
q → p
10

Which disjunction is always true for any real number x?

A
A number, x, is less than 0 or greater than 1.
B
A number, x, is less than 0 or greater than 0.
C
A number, x, is greater than 5 or less than 10.
D
A number, x, is greater than 5 or less than 1.

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