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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
-5/2 x ≤ -1/5
Solving Two - Step Linear Inequalities
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
2/3 > -4y - 8 1/3
How to Solve a two-step linear inequality with a fractional coefficient?
1. Solve the inequality for u.
-8 < -6u/5 + 8
Simplify your answer as much as possible.

2. Solve the inequality for w.
-4 ≤ 3 - 7/8 w
Simplify your answer as much as possible.

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
2/3 + 1/3 < 2/3
How to Solve Inequalities that contain Fractions?
Learn to solve inequalities that contain fractions.
-11x/5 + 7/15 ≤ 9/2

Try the free Mathway calculator and problem solver below to practice various math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.
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