Question

26. What is the conclusion of the following conditional statement?

If it rains, then I will bring my umbrella.
•It rains.
•It does not rain.
•I will bring my umbrella.
•I will not bring my umbrella.

27. When would the following conditional be false?
If you work 20 hours a week, then you make $125.00.
•You work 25 hours a week, and make $125.00.
•You work 25 hours a week, and you make $175.00.
•You work 20 hours a week, and you make $175.00.
•You work 20 hours a week, and you make $125.00.

Answer 1

26. "I will bring my umbrella"

27. The conditional statement would become false if you work 20 hours and and make $175 because the same hypothesis will not hold true for this conclusion.

Answer 2

Answer: 1. I will bring my umbrella.

2. You work 20 hours a week, and you make $175.00.

Explanation:

We know that a conditional statement "If p then q", is an if-then statement in which p is a hypothesis and q is a conclusion.

Now, for the given conditional statement "If it rains, then I will bring my umbrella. "

Here, q=" I will bring my umbrella." Therefore, the conclusion is "I will bring my umbrella".

For the next conditional statement "If you work 20 hours a week, then you make $125.00."

The statement "You work 20 hours a week, and you make $175.00." is false, because $175 is false conclusion here for the same hypothesis.