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Chapter 1: Q79. (page 66)

Find a counterexample for each conditional statement.

If4x-11=53,thenx<16.

Short Answer

Expert verified

The counter-example for the given statement is x.

Step by step solution

01

Step 1. Given information.

We have a conditional statement 鈥樷��4x鈭�11=53, then x<16鈥欌赌�.

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

02

Step 2. Counter-example.

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

03

Step 3. Conclusion.

The statement 鈥淚f 4x鈭�11=53, then x<16鈥漣s a conditional statement then.

Solve the equation.

4x鈭�11=534x=53+114x=64x=16

As the xbe 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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