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Chapter 6: Q2. (page 218)

Classify the following conditional as true or false.

If a>b,b=c, then a>c.

Short Answer

Expert verified

The statement is true.

Step by step solution

01

Step 1. Apply the concept of the conditional statement.

Conditional statements are those statements where a hypothesis is followed by a conclusion. It is also known as an " If-then" statement.

02

Step 2. Step description.

Consider the statement 鈥渋f a>b,b=c, then a>c.鈥�

An inequality opens on the greater side.

Here a>b implies that a is greater than b and b=c implies that b is equal to c such that b is always replaced by c.

03

Step 3. Step description.

Replace b by c in the statement a>bas follows:

a>ba>c

Thus, it follows a>c.

Therefore, the statement is true.

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