AnswersGeometryCompound Statements

Compound Statements — Quiz Answers

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1
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Which represents region cap b ?

A
q rightarrow p
B
p rightarrow q
C
q wedge p
D
p vee q
2
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Which represents regions cap A , cap b , and cap c ?

A
p rightarrow q
B
q rightarrow p
C
p vee q
D
q wedge p
4

Which biconditional statement is true?

A
A shape is a triangle if and only if the shape has three sides and three acute angles.
B
A shape is a rectangle if and only if the shape has exactly four sides and four right angles.
C
A shape is a square if and only if the shape has exactly four congruent sides.
D
A shape is a trapezoid if and only if the shape has a pair of parallel sides.
5

Let p left right arrow q represent the statement "He is wearing a coat if and only if the temperature is below 30 times degree F ” Which represents p wedge q ?

A
He is wearing a coat and the temperature is below 30 times degree F .
B
If he is wearing a coat, then the temperature is below 30 times degree F .
C
He is wearing a coat or the temperature is below 30 times degree F .
D
If he is not wearing a coat, then the temperature is not below 30 times degree F .
7

Let p : x is less than negative 3 Let q : x is greater than 3 What is represented by p vee q ?

A
x is less than negative 3 if and only if x is greater than 3
B
If x is less than negative 3 , then x is greater than 3
C
x is less than negative 3 and x is greater than 3
D
x is greater than 3 or x is less than negative 3
8

Which conjunction about whole numbers is true?

A
The difference of two non-zero even numbers is odd and greater than the larger number.
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 sum of two non-zero even numbers is even and less than the addends.
9

Which disjunction is always true for any real number x ?

A
A number, x , is less than 0 or greater than 0 .
B
A number, x , is greater than 5 or less than 10 .
C
A number, x , is less than 0 or greater than 1 .
D
A number, x , is greater than 5 or less than 1 .
10

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.

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