# The solution of the given inequality and express the solution using interval notation. Also graph the solution set on the real number line.

### Precalculus: Mathematics for Calcu...

6th Edition
Stewart + 5 others
Publisher: Cengage Learning
ISBN: 9780840068071

### Precalculus: Mathematics for Calcu...

6th Edition
Stewart + 5 others
Publisher: Cengage Learning
ISBN: 9780840068071

#### Solutions

Chapter 1, Problem 94RE
To determine

## To calculate: The solution of the given inequality and express the solution using interval notation. Also graph the solution set on the real number line.

Expert Solution

The solution using interval notation is (3.98,4.02) .

### Explanation of Solution

Given information:

The given inequality is |x4|<0.02

Formula used:

In order to solve an inequality, the following things can be done.

• Add the same quantity to each side of the inequality

• Subtract the same quantity from each side

• Multiply or divide each side by the same positive quantity and If multiplied ordivided each side by a negative quantity, then the inequality symbol must be reversed.

In case of nonlinearinequality, the function may be factorized and solved further long division method etc.

Calculation:

In order to solve an inequality, the following things can be done.

• Add the same quantity to each side of the inequality

• Subtract the same quantity from each side

• Multiply or divide each side by the same positive quantity and If multiplied ordivided each side by a negative quantity, then the inequality symbol must be reversed.

The inequality can be solved as follows:

|x4|<0.02(x4)<0.02x<0.02+4x<4.02and(x4)<0.02x+4<0.02x4>0.02x>0.02+4x>3.98

The solution using interval notation is (3.98,4.02)

The solution can be represented on the number line as shown below.

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