10
QuizMultiple Choice

Conditional Statements and Equivalence — Quiz

Question 10 • MASTER COURSE Geometry

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

Answer
A
approximates p rightarrow approximates q where p is equal to a number is doubled and q is equal to the result is even
B
q rightarrow p where p is equal to a number is doubled and q is equal to the result is even
C
q rightarrow p where p is equal to the result is even and q is equal to a number is doubled
D
approximates p rightarrow approximates q where p is equal to the result is even and q is equal to a number is doubled

Explanation

The inverse of a conditional p → q is formed by negating both parts while keeping their order: ¬p → ¬q. Here, p means “a number is doubled” and q means “the result is even,” so the inverse is “If a number is not doubled, then the result is not even.” Choice A keeps those definitions and negates both statements.

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