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Chapter 6: Q9. (page 205)

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

If a>5and 5>b, then a>b.

Short Answer

Expert verified

The conditional statement 鈥淚f a>5and 5>bthen a>b鈥� is true.

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 a>5and 5>b.

Write the inequalities in interval as follows:

a>5>b

03

Step 3. Step description.

Since a>5>bthus this meansa>b

Thus, the statement is true.

Therefore, the conditional statement 鈥渋f a>5and5>b then a>b鈥� is true.

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