AnswersFL-1206310-Geometry A - FlexConditional Statements and Equivalence

Conditional Statements and Equivalence Answers

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The inverse of a conditional statement is "If a number is negative, then it has a negative cube root.”What is the contrapositive of the original conditional statement?

A
If a number is negative, then it does not have a negative cube root.
B
If a number does not have a negative cube root, then the number is not negative.
C
If a number has a negative cube root, then the number is negative.
D
If a number is not negative, then it does not have a negative cube root.
2
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If p is the hypothesis of a conditional statement and q is the conclusion, which is represented by ~p → ~q?

A
the original conditional statement
B
the converse of the original conditional statement
C
the contrapositive of the original conditional statement
D
the inverse of the original conditional statement
3

Given:p: x – 5 =10q: 4x + 1 = 61Which is the inverse of p → q?

A
If x – 5 ≠ 10, then 4x + 1 ≠ 61.
B
If 4x + 1 ≠ 61, then x – 5 ≠ 10.
C
If x – 5 = 10, then 4x + 1 = 61.
D
If 4x + 1 = 61, then x – 5 = 10.
4

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Question illustration
A
If a number is prime, it is also odd.
B
If a number is odd, it is also prime.
C
If a number is not odd, it cannot be prime.
D
If a number is prime, it may or may not be odd.
5

If an original conditional statement is represented by p → q, which represents the contrapositive?

A
q → p
B
~q → ~p
C
p → q
D
~p → ~q
6

The statement p → q represents "If a number is doubled, the result is even.”Which represents the inverse?

A
~p → ~q where p = a number is doubled and q = the result is even
B
q → p where p = a number is doubled and q = the result is even
C
~p → ~q where p = the result is even and q = a number is doubled
D
q → p where p = the result is even and q = a number is doubled
7

If p is the hypothesis of a conditional statement and q is the conclusion, which is represented by ?

Question illustration
A
the original conditional statement
B
the inverse of the original conditional statement
C
the converse of the original conditional statement
D
the contrapositive of the original conditional statement

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