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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
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
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
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

Rotate to landscape screen format on a mobile phone or small tablet to use the Mathway widget, a free math problem solver that answers your questions with step-by-step explanations.


You can use the free Mathway calculator and problem solver below to practice Algebra or other 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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