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Identify the hypothesis and conclusion of each statement.

Then write each statement in if-then form.

Lamar's third-period class is art.

Short Answer

Expert verified

The hypothesis is 鈥渋t is the third period鈥 and the conclusion is 鈥淟amar has art class鈥. The required if-then statement is 鈥淚f it is the third period, then Lamar has art class.鈥

Step by step solution

01

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 鈥渋f鈥 is the hypothesis, and the part of the statement immediately following 鈥渢hen鈥 is the conclusion.

02

Step 2. List the given data.

The given statement is 鈥淟amar鈥檚 third-period class is art鈥.

03

Step 3. Identify the hypothesis and conclusion.

The given statement has two parts, 鈥渋t is the third period鈥 and 鈥淟amar has art class鈥.

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, 鈥渋t is the third period鈥 is the independent part of the statement and thus, the hypothesis. Similarly, 鈥淟amar has art class鈥 is the dependent part of the statement and thus, the conclusion.

04

Step 4. Rewrite as an if-then statement.

Write the hypothesis after 鈥渋f鈥 and conclusion after 鈥渢hen鈥 in an if-then statement to get:

鈥淚f it is the third period, then Lamar has art class.鈥

This is the required if-then statement.

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