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Chapter 6: Q5. (page 205)

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

If c-5>45, then c>48.

Short Answer

Expert verified

The conditional statement 鈥淚f c鈭�5>45, then c>48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 c鈭�5>45.

Adding 5 both sides of the statement as follows:

c鈭�5>45c鈭�5+5>45+5

03

Step 3. Step description.

Simplify the statement as follows:

c鈭�5+5>45+5c>50

Thus, if c鈭�5>45then c>50.

Therefore, the conditional statement 鈥渋f c鈭�5>45then c>48鈥� is false.

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