Start your trial now! First week only $4.99!*arrow_forward*

BuyFind*launch*

4th Edition

James Stewart

Publisher: Cengage Learning

ISBN: 9781337687805

Chapter A, Problem 26E

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 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

The above inequality can be broken down into:

Solving the first inequality, we have:

Adding

To solve the above inequality, we needto find the different intervals for which the inequality gives a value greater than

When

Thus,

So,

When

Thus,

So,

When

Thus,

So,

Combining all the solutions, we have the solution set as:

Solving the second inequality, we have:

Subtract

To solve the above inequality, 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,

Combining all the solutions, we have the solution set as:

Now, combining solutions from both the inequalities, we have:

Thus, solution set is

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

**Conclusion:**

Hence, the solution of the inequality is