Compound Statements Answers

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The coordinate plane is separated into four quadrants as shown.

Question illustration
A
quadrant 1 because both x and y are positive coordinates
B
quadrant 3 because both x and y are negative coordinates
C
quadrants 1, 2, and 4 because in these quadrants x, y, or both are positive coordinates
D
quadrants 2, 3, and 4 because in these quadrants x, y, or both are negative coordinates
3

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.
5

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.
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

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
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

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

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