 # Solve Linear Inequalities with Fractions

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More Lessons for Grade 8 Math, Math Worksheets

Videos, examples, solutions, and worksheets to help Grade 8 students learn about solving linear inequalities with fractions.

Remember that when you divide or multiply by a negative number you need to switch the inequality sign.

Solving Single-Step Inequalities by taking the Reciprocal
Example:
-5/2 x ≤ -1/5
Solving Two - Step Linear Inequalities
Examples:
Solve each of the following:
a) 4x - 6 > 1
b) -x/8 + 8 ≥ 14
c) (x + 6)/11 < 2
Solving a two-step linear inequality with fractions
Example:
2/3 > -4y - 8 1/3
How to Solve a two-step linear inequality with a fractional coefficient?
Examples:
1. Solve the inequality for u.
-8 < -6u/5 + 8

2. Solve the inequality for w.
-4 ≤ 3 - 7/8 w

Solving Inequalities With Fractions
When solving inequalities with fractions, remember that inequality means that there is a "less than" or "greater than" part to the question. Look for common denominators when solving inequalities with fractions
Example:
2/3 + 1/3 < 2/3
How to Solve Inequalities that contain Fractions?
Learn to solve inequalities that contain fractions.
Example:
Solve
-11x/5 + 7/15 ≤ 9/2

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