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