- Writing, Graphing and Solving Inequalities
- 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
Plugging in the value 14 – 6 > 9
8 > 9 which is incorrect.
So, the inequality is False for given value of variable
Is 2 a solution to this inequality?
5x + 14 > 22
Plugging in the value (5 × 2) + 14 > 22
10 + 14 > 22; 24 > 22 which is correct.
2 is a solution to given inequality.
Therefore, the answer is yes
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