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Chapter 6: Q6. (page 205)

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

If a+b=nand c>bthen a+c>n.

Short Answer

Expert verified

The conditional statement 鈥淚f a+b=nandc>b then a+c>n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 c>b.

Adding both sides of the statement as follows:

c>bc+a>b+ac+a>a+b

03

Step 3. Step description.

Simplify the statement as follows:

c+a>a+ba+c>na+b=n

Thus, if a+b=nand c>bthen a+c>n.

Therefore, the conditional statement 鈥渋f a+b=nand c>bthen a+c>n鈥� is true.

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