Question
Write (a) the contrapositive and (b) the inverse of each statement.If $x$ is not even, then $x+1$ is not odd.
Step 1
So, the contrapositive of the statement "If $x$ is not even, then $x+1$ is not odd" is "If $x+1$ is odd, then $x$ is even". Show more…
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Write (a) the converse and (b) the contrapositive of each statement. Simplify your statements as much as possible. (c) Provide counterexamples if the original, the converse, and/or the contrapositive statements are false. If $x$ is odd, then there is some integer $n$ such that $x=2 n+1$
Functions and Precalculus
Logic and Mathematical Thinking
Prove by contrapositive: If x+y is even then either x and y are both even or x and y are both odd.
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