5
QuizMultiple Choice

Conditional Statements and Equivalence

Question 5 • FL-1206310-Geometry A - Flex

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

Answer
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

Explanation

The inverse of a conditional p → q is formed by negating both p and q, giving ~p → ~q. Here, p means “a number is doubled” and q means “the result is even,” so the inverse keeps those meanings and negates each one. That matches choice A.

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