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Chapter 1: Q12. (page 56)

Example 4 Find a counterexample for each conditional statement.

If |x|=7 then x=7

Short Answer

Expert verified

A counterexample is 鈥淚f x=7, then x=鈭�7鈥�.

Step by step solution

01

Step 1. Given.

If x=7then x=7.

02

Step 2. To find.

We have to find the counterexample for the condition 鈥淚f x=7then x=7.鈥�

03

Step 3. Calculation.

The given statement is: If x=7thenx=7

We know that xcan be negative or positive. So x=7 can mean x=7 or x=鈥�7.

So, not necessarily true. Because x=鈥�7is also possible.

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