AnswersFL-1206310-Geometry A - FlexCompound Statements

Compound Statements Answers

10 verified answers
1
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The diagram represents two statements: p and q.

Question illustration
A
p ∨ q
B
p → q
C
q ∧ p
D
q → p
2
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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.

A
24
B
28
C
32
D
36
E
40
3

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
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

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
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 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.
8

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
9

Which statements are true for rows A and E? Select two options.

A
p ↔ q
B
q ↔ p
C
q ↔ r
D
r ↔ p
E
r ↔ q
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.
11

The diagram represents two statements: p and q.

Question illustration
A
p ∨ q
B
p → q
C
q ∧ p
D
q → p
12

The diagram represents three statements about animals at the zoo: p, q, and r.

Question illustration
A
15
B
17
C
20
D
22
13

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.
14

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.
15

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
16

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.
17

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.
18

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
19

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.
20

Let p: A car has automatic windows.Let q: A car has automatic seats.

Question illustration
A
40
B
54
C
66
D
80

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