Compound Statements Answers
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Which conjunction about whole numbers is true?
A
The sum of two non-zero even numbers is even and less than the addends.B
The sum of two non-zero even numbers is even and greater than the addends.C
The difference of two non-zero even numbers is odd and less than the larger number.D
The difference of two non-zero even numbers is odd and greater than the larger number.2
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Which statements are true for rows A and E? Select two options.
A
p ↔ qB
q ↔ pC
q ↔ rD
r ↔ pE
r ↔ q3
The coordinate plane is separated into four quadrants as shown.
A
quadrant 1 because both x and y are positive coordinatesB
quadrant 3 because both x and y are negative coordinatesC
quadrants 1, 2, and 4 because in these quadrants x, y, or both are positive coordinatesD
quadrants 2, 3, and 4 because in these quadrants x, y, or both are negative coordinates4
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.5
Let p: x 3What is represented by p ∨ q?
A
x 3B
x > 3 or x < −3C
If x 3D
x 36
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
Let p: x = 4Let q: y = −2Which represents "If x = 4, then y = −2”?
A
p ∨ qB
p ∧ qC
p → qD
p ↔ q8
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.9
The diagram represents two statements: p and q.
A
p ∨ qB
p → qC
q ∧ pD
q → p10
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.Did you find these answers helpful?
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