Solving Linear Inequalities - Concept

Concept Concept (1)

If we want to solve for or describe a region in a coordinate plane, we can use linear inequalities. Linear inequalities give us a set of solutions as opposed to just one solution. Solving linear inequalities uses similar methods as solving multi-step equations, except that there are extra rules when using multiplication and division. We graph linear inequalities by shading regions of number lines or coordinate planes.

Sample Sample Problems (3)

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Solving Linear Inequalities - Problem 1

Solve for x.

5x − 7 ≥ 3x + 9
Problem 1
How to solve an inequality when dividing , or multiplying, by a negative.
Solving Linear Inequalities - Problem 2

Solve for x.

4(x + 3) − x ≥ -3(2 − x)
Problem 2
How to solve an inequality with infinite solutions.
Solving Linear Inequalities - Problem 3

Solve for x.

5(x + 2) < 4(x − 1) + x
Problem 3
How to solve an inequality with no solutions.