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4th Edition

James Stewart

Publisher: Cengage Learning

ISBN: 9781337687805

Chapter A, Problem 22E

To determine

To solve the below inequality in terms of intervals and illustrate the solution set on the real number line -

Expert Solution

The solution set of the inequality is

**Given: **Inequality:

**Formula Used:**

An inequality compares two values, showing if one is less than, greater than, or simply not equal to another value.

Real number line is the line whose points are the real numbers.

**Calculation:**

Given: Inequality equation is

Simplifying the above inequality, we have:

To solve the above inequalities, we need to find the different intervals for which the inequality gives a value less than or equal to

When

Thus,

So,

When

Thus,

So,

When

Thus,

So,

When

Thus,

So,

When

Thus,

So,

When

Thus,

So,

When

Thus,

So,

Combining all the solutions, we have:

Thus, the solution set is

Drawing the above inequality on a real number line, we have:

**Conclusion:**

Hence, the solution set of the inequality is