Q14. - Algebra 1

Question

Example 1 Identify the hypothesis and conclusion of each statement.

If a team is playing at home, then they wear their white uniforms.

Step-by-Step Solution

Answer

The hypothesis is “a team is playing at home” and the conclusion is “they wear their white uniforms.”

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 a team is playing at home, then they will wear their white uniforms.”

Step 3. Find the hypothesis.

The part of the given statement immediately following “if” is “a team is playing at home”. Then, the hypothesis is “a team is playing at home”.

Step 4. Find the conclusion.

The part of the given statement immediately following “then” is “they wear their white uniforms”. Then, the conclusion is “they wear their white uniforms”.