 # Solve Linear Inequalities with Variables on both sides

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Examples, solutions, videos, and worksheets to help Grade 8 students learn about solving linear inequalities with variables on both sides.

Solving Inequalities with Variables on Both Sides
Examples:
1) 5x - 12 > 2x
2) n - 2 < 3n + 10
3) -3(4 - 2x) ≤ -7 + 6x + 4
Variable on Both Sides Inequality
This is an example of a multi-step single variable inequality with variables on both sides of the inequality.
Example:
Solve and graph the following inequality.
2(-x + 3) > -3(2x + 6)

Solve a Multiple Step Linear Inequality (Variable Both Sides)
This video provides an example of solving multiple step linear inequalities in one variable with variables on both sides. The solution is also written using interval notation.
Examples:
Solve and graph each inequality. Then express the solution using interval notation.
2x - 6 > 3x - 11
8x - 4 ≥ 5x + 14

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