Chapter 2: Q3 (page 35)

State the hypothesis and the conclusion of each conditional.
I’ll try if you will.

Short Answer

Expert verified

The hypothesis is you will try and the conclusion is I’ll try.

Step by step solution

Step 1. Hypothesis and the conclusion.

The hypothesis and the conclusion of a conditional statement are where the hypothesis is the phrase immediately following by the word if and the conclusion is the phrase immediately following by the word then.

Step 2. Symbolic representation.

If p represents the hypothesis and q represents the conclusion, then the basic form of an if-then statement is “If p, then q”. For example, in the statement “If today is Friday, then tomorrow is Saturday”, “today is Friday” is the Hypothesis, and “tomorrow is Saturday” is the Conclusion.

Step 3. Rewrite the statement.

The given statement “I’ll try if you will” can be rewritten as “If you will try, then I will try”.

Step 4. Identification of the Hypothesis and the conclusion.

In the statement “If you will try, then I will try”, since, “you will try” is followed by “If” and “I will try” is followed by “then” thus, the hypothesis is you will try and the conclusion is I will try.

Hence, the hypothesis is you will try and the conclusion is I will try.