Compound Statements Answers
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The diagram represents three statements about animals at the zoo: p, q, and r.
A
15B
17C
20D
223
Let p: x < −3Let q: x > 3What is represented by p ∨ q?
A
x < −3 and x > 3B
x > 3 or x < −3C
If x < −3, then x > 3D
x < −3 if and only if x > 34
Let p: x = 4Let q: y = −2Which represents "If x = 4, then y = −2”?
A
p ∨ qB
p ∧ qC
p → qD
p ↔ q5
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 BB
A, B, and CC
B and ED
B, C, and E6
The diagram represents responses to a survey that include statements p and q.
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.
A
p ∨ qB
p → qC
q ∧ pD
q → p10
The diagram represents two statements: p and q.
A
p ∨ qB
p → qC
q ∧ pD
q → pDid you find these answers helpful?
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