# Solving Linear Inequalities

Consider the inequality:

Solve by following these steps:

1. Remove the brackets.

2. Remove the parentheses.

3. Remove the denominators.

4. Group the terms of x to one side of the inequality and the independent terms to the other.

5. Calculate:

6.Because **the coefficient of x is negative**, **multiply by −1** so that it will **change the sense** of the inequality.

7. Work out the value of the unknown.

8.The solution is an inequality, but it can also be expressed:

Graphically:

As an interval:

[3, +∞)

#### Examples

1

(1, ∞)

2

3

Subject

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