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Chapter 6: Q1. (page 205)

For the following conditional statement, classify the statement as true or false.

If 3a>9, then a>27.

Short Answer

Expert verified

The conditional statement 鈥淚f 3a>9, then a>27鈥� is false.

Step by step solution

01

Step 1. Apply the concept of a conditional statement.

Conditional statements are those statements where a hypothesis is followed by a conclusion. It is also called the 鈥淚f-then" statement.

02

Step 2. Simplify the statement.

Consider the statement 3a>9.

Divide both sides of the statement by 3 as follows:

3a>93a3>93

03

Step 3. Step description.

Simplify the statement as follows:

3a3>93a>3

Since a>3thus, the statement is false.

Therefore, the conditional statement 鈥渋f 3a>9then a>27鈥� is false.

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