Big Ideas Math Integrated I, 2016
BI
Big Ideas Math Integrated I, 2016 View details
1. Conditional Statements
Continue to next subchapter

Exercise 38 Page 448

The converse of a conditional statement exchanges the hypothesis and the conclusion of the conditional statement. Has this been done?

Example Solution: If I will bring an umbrella, then it is raining.
Explanation: See solution.

Practice makes perfect
We are searching for an error in the given statements so we can then rewrite them correctly.

Conditional statement

If it is raining, then I will bring an umbrella.

Converse *

If it is not raining, then I will not bring an umbrella.

The converse of a conditional statement exchanges the hypothesis and the conclusion of the conditional statement. This has not been done. Instead, the given statement shows the inverse to the conditional statement, as the hypothesis and conclusion have been negated. Let's write the converse by exchanging the hypothesis and conclusion.

Converse âś“

If I will bring an umbrella, then it is raining.