Compound Statements Answers

10 verified answers1 views
1
Free Preview

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
4

The diagram represents two statements: p and q.

Question illustration
A
p ∨ q
B
p → q
C
q ∧ p
D
q → p
5

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.
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
10

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?