- Writing, Graphing and Solving Inequalities
- Home
- Translating a Sentence by Using an Inequality Symbol
- Translating a Sentence into a One-Step Inequality
- Introduction to Identifying Solutions to an Inequality
- Writing an Inequality for a Real-World Situation
- Graphing a Linear Inequality on the Number Line
- Writing an Inequality Given a Graph on the Number Line
- Identifying Solutions to a One-Step Linear Inequality
- Additive Property of Inequality with Whole Numbers
- Multiplicative Property of Inequality with Whole Numbers
- Solving a Two-Step Linear Inequality with Whole Numbers
- Solving a Word Problem Using a One-Step Linear Inequality

# Introduction to Identifying Solutions to an Inequality

Inequality solution is any value of the variable that makes the inequality true.

Solving linear inequalities is almost exactly like solving linear equations.

A solution to an inequality makes that inequality true.

In this lesson, we learn to test if a certain value of a variable makes an inequality true.

Is the following inequality true or false?

**x − 6 > 9, x = 14**

### Solution

**Step 1:**

Plugging in the value 14 – 6 > 9

8 > 9 which is incorrect.

**Step 2:**

So, the inequality is False for given value of variable

Is 2 a solution to this inequality?

**5x + 14 > 22**

### Solution

**Step 1:**

Plugging in the value (5 × 2) + 14 > 22

10 + 14 > 22; 24 > 22 which is correct.

**Step 2:**

2 is a solution to given inequality.

Therefore, the answer is yes

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