Chapter 1: Q79. (page 66)

Find a counterexample for each conditional statement.
If $4 x - 11 = 53,$ then $x < 16$ .

Short Answer

Expert verified

The counter-example for the given statement is $x$ .

Step by step solution

Step 1. Given information.

We have a conditional statement ‘’ $4 x - 11 = 53$ , then $x < 16$ ’’.

To find a counter-example of the given conditional statement.

Step 2. Counter-example.

Counter-example to any statement means any example which is making that statement is false.

Step 3. Conclusion.

The statement “If $4 x - 11 = 53$ , then $x < 16$ ”is a conditional statement then.

Solve the equation.

$\begin{array}{l} 4 x - 11 = 53 \\ 4 x = 53 + 11 \\ 4 x = 64 \\ x = 16 \end{array}$

As the $x$ be an exact number which is not in the given range of the $x$ .

Therefore, the counter-example for the given statement is $x$ .

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Find a counterexample for each conditional statement.
If $4 x - 11 = 53,$ then $x < 16$ .

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Counter-example.

Step 3. Conclusion.

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Find a counterexample for each conditional statement.If4x-11=53,thenx<16.

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Counter-example.

Step 3. Conclusion.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Discrete Mathematics

Applied Mathematics

Logic and Functions

Statistics

Mechanics Maths

Decision Maths

Study anywhere. Anytime. Across all devices.

Find a counterexample for each conditional statement.
If $4 x - 11 = 53,$ then $x < 16$ .