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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

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.

Example:

-5/2 x ≤ -1/5

Examples:

Solve each of the following:

a) 4x - 6 > 1

b) -x/8 + 8 ≥ 14

c) (x + 6)/11 < 2

Example:

2/3 > -4y - 8 1/3

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.

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

Learn to solve inequalities that contain fractions.

Example:

Solve

-11x/5 + 7/15 ≤ 9/2

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