Compound Statements Answers

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Let p: A number is greater than 25.Let q: A number is less than 35.If p ∧ q is true, then what could the number be? Select two options.2428323640

A
24
B
28
C
32
D
36
E
40
2
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The diagram represents three statements about animals at the zoo: p, q, and r.

Question illustration
A
15
B
17
C
20
D
22
3

Let p: x 3What is represented by p ∨ q?

A
x 3
B
x > 3 or x < −3
C
If x 3
D
x 3
4

Let p: x = 4Let q: y = −2Which represents "If x = 4, then y = −2”?

A
p ∨ q
B
p ∧ q
C
p → q
D
p ↔ q
5

The truth table represents statements p, q, and r. pqrp ∧ qp ∧ r AT T T T T BT T F T F CT F T F T DT F F F F EF T T F F FF T F F F GF F T F F HF F F F F

A
A and B
B
A, B, and C
C
B and E
D
B, C, and E
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.
7

Which biconditional statement is true?

A
A shape is a rectangle if and only if the shape has exactly four sides and four right angles.
B
A shape is a trapezoid if and only if the shape has a pair of parallel sides.
C
A shape is a triangle if and only if the shape has three sides and three acute angles.
D
A shape is a square if and only if the shape has exactly four congruent sides.
8

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.
9

The diagram represents two statements: p and q.

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

The diagram represents two statements: p and q.

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

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