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Consider the implication: If ab is odd, then a is odd and b is odd. (a) State the

Chapter 1, Problem 14

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QUESTION:

Consider the implication: If ab is odd, then a is odd and b is odd. (a) State the converse of this implication. (b) State the contrapositive of this implication. 1

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QUESTION:

Consider the implication: If ab is odd, then a is odd and b is odd. (a) State the converse of this implication. (b) State the contrapositive of this implication. 1

ANSWER:

Step 1 of 2

Given implication is

If ab is odd, then a is odd and b is odd

For two given statements P and Q, the converse of the implication “If P, then Q” is “If Q, then P”.

Here,

P: ab is dd

Q: a is odd

R: b is odd.

The converse of the given implication is

If Q and R, then P i.e., If a and b are odd, then ab is odd.

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