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 “If $|x| = 7$ , then $x = - 7$ ”.

Step by step solution

Step 1. Given.

If $|x| = 7$ then $x = 7$ .

Step 2. To find.

We have to find the counterexample for the condition “If $|x| = 7$ then $x = 7$ .”

Step 3. Calculation.

The given statement is: If $|x| = 7$ then $x = 7$

We know that $|x|$ can be negative or positive. So $|x| = 7$ can mean $x = 7$ or $x = - 7$ .

So, not necessarily true. Because $x = - 7$ is also possible.

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Example 4 Find a counterexample for each conditional statement.
If $| x | = 7$ then $x = 7$

Short Answer

Step by step solution

Step 1. Given.

Step 2. To find.

Step 3. Calculation.

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Example 4 Find a counterexample for each conditional statement.If |x|=7 then x=7

Short Answer

Step by step solution

Step 1. Given.

Step 2. To find.

Step 3. Calculation.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Discrete Mathematics

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Study anywhere. Anytime. Across all devices.

Example 4 Find a counterexample for each conditional statement.
If $| x | = 7$ then $x = 7$