Call
Solving a Simple Linear Inequality
When solving a linear inequality, you can use the same steps that you would use when solving an equation. To start, use the following steps:
- Isolate the variable on one side of the inequality.
- If necessary, reverse the inequality sign if you multiplied or divided by a negative.
- Solve the equation by using inverse operations.
- Graph the result on a number line.
Let's walk through an example. Suppose you need to solve the inequality 2x - 4 ≥ 10. To begin, isolate the variable, x, on one side. To do this, add 4 to both sides to get:
2x ≥ 14
Next, divide both sides by 2 to get:
x ≥ 7
Now, graph your solution on a number line. All of the values that are greater than or equal to 7 (7, 8, 9, 10...) are solutions for this inequality.
Talk Doctor Online in Bissoy App