Q18. - Algebra 1

Question

Identify the hypothesis and conclusion of each statement.

If it is not raining outside, we will walk the dogs.

Step-by-Step Solution

Answer

The hypothesis is “it is not raining outside” and the conclusion is “we will walk the dogs”.

Step 1. State the concept.

In an if-then statement, the part of the statement immediately following “if” is the hypothesis, and the part of the statement immediately following “then” is the conclusion.

Step 2. List the given data.

The given statement is “If it is not raining outside, we will walk the dogs.” This is equivalent to the statement “If it is not raining outside, then we will walk the dogs.”

Step 3. Find the hypothesis.

The part of the given statement immediately following “if” is “it is not raining outside”. Then, the hypothesis is “it is not raining outside”.

Step 4. Find the conclusion.

The part of the given statement immediately following “then” is “we will walk the dogs”. Then, the conclusion is “we will walk the dogs”.