Q20. - Algebra 1

Question

Identify the hypothesis and conclusion of each statement.

Then write each statement in if-then form.

Lamar's third-period class is art.

Step-by-Step Solution

Answer

The hypothesis is “it is the third period” and the conclusion is “Lamar has art class”. The required if-then statement is “If it is the third period, then Lamar has art class.”

Step 1. State the concept.

In a conditional statement, the independent part is the hypothesis and the dependent part is the conclusion.

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 “Lamar’s third-period class is art”.

Step 3. Identify the hypothesis and conclusion.

The given statement has two parts, “it is the third period” and “Lamar has art class”.

Note that it is the third period does not depend on Lamar having art class. However, Lamar having art class is dependent on it being the third period.

So, “it is the third period” is the independent part of the statement and thus, the hypothesis. Similarly, “Lamar has art class” is the dependent part of the statement and thus, the conclusion.

Step 4. Rewrite as an if-then statement.

Write the hypothesis after “if” and conclusion after “then” in an if-then statement to get:

“If it is the third period, then Lamar has art class.”

This is the required if-then statement.