Table of contents

Prepare for your exams

Upload your syllabus and get recommendations on what to study and when. No syllabus? Sharing your exam schedule works too.

Skip topic navigation

0. Review of Algebra(0)
1. Equations & Inequalities(0)
2. Graphs of Equations(0)
3. Functions(0)
4. Polynomial Functions(0)
5. Rational Functions(0)
6. Exponential & Logarithmic Functions(0)
7. Systems of Equations & Matrices(0)
8. Conic Sections(0)
9. Sequences, Series, & Induction(0)
10. Combinatorics & Probability(0)

1. Equations & Inequalities

Linear Inequalities

1. Equations & Inequalities

Linear Inequalities: Videos & Practice Problems

Video Lessons Practice Worksheet

Linear Inequalities Practice Problems

302 problems

181PRACTICE PROBLEM

Find the solution for the following inequality using the graph of f(x) = 3x(x - 3)(x - 4) given below. Express the answer in interval notation.

3x(x - 3)(x - 4) > 0

Graph of f(x) = 3x(x - 3)(x - 4) for solving linear inequalities.

182PRACTICE PROBLEM

Find the solution for the following inequality using the graph of f(x) = 3x(x - 3)(x - 4) given below. Express the answer in interval notation.

3x(x - 3)(x - 4) ≥ 0

Graph of f(x) = 3x(x - 3)(x - 4) for solving linear inequalities.

183PRACTICE PROBLEM

Find the solution for the following inequality using the graph of f(x) = [3(x-5)]/[(x - 4)(x - 6)] given below. Express the answer in interval notation.

[3(x-5)]/[(x - 4)(x - 6)] = 0

Graph of f(x) = [3(x-5)]/[(x-4)(x-6)] showing linear inequalities.

184PRACTICE PROBLEM

Find the solution for the following inequality using the graph of f(x) = [3(x-5)]/[(x - 4)(x - 6)] given below. Express the answer in interval notation.

[3(x-5)]/[(x - 4)(x - 6)] < 0

Graph of f(x) = [3(x-5)]/[(x-4)(x-6)] showing regions where the function is less than zero.

185PRACTICE PROBLEM

Find the solution for the following inequality using the graph of f(x) = [3(x-5)]/[(x - 4)(x - 6)] given below. Express the answer in interval notation.

[3(x-5)]/[(x - 4)(x - 6)] > 0

Graph of f(x) = [3(x-5)]/[(x-4)(x-6)] illustrating linear inequalities.

186PRACTICE PROBLEM

Find the solution for the following inequality using the graph of f(x) = [3(x-5)]/[(x - 4)(x - 6)] given below. Express the answer in interval notation.

[3(x-5)]/[(x - 4)(x - 6)] ≤ 0

Graph of f(x) = [3(x-5)]/[(x-4)(x-6)] illustrating linear inequalities.

187PRACTICE PROBLEM

For the given inequality expression, solve and write the solution set in interval notation.

(4x - 3)(6x - 7)(x - 3) < 0

188PRACTICE PROBLEM

For the given inequality expression, solve and write the solution set in interval notation.

(x - 3)(4x - 3)(6x + 5) ≥ 0

189PRACTICE PROBLEM

For the given inequality expression, solve and write the solution set in interval notation.

(x - 7)(x - 11)(x - 13) ² ≤ 0

190PRACTICE PROBLEM

For the given inequality expression, solve and write the solution set in interval notation.

- (x - 7)(x - 11) ²(x - 13) > 0

191PRACTICE PROBLEM

For the given inequality expression, solve and write the solution set in interval notation. (x + 7)³(3x - 2)(x + 11) ≥ 0

192PRACTICE PROBLEM

For the given inequality expression, solve and write the solution set in interval notation. 4x³ - 13x² ≥ 5 - 14x

193PRACTICE PROBLEM

For the given inequality expression, solve and write the solution set in interval notation. x⁴ + 2x³ - 33x² - 90x < 0

194PRACTICE PROBLEM

For the given inequality expression, solve and write the solution set in interval notation. x⁴ - 10x³ + 16 < 40x - 33x²

195PRACTICE PROBLEM

For the given inequality expression, solve and write the solution set in interval notation.

(x - 2)/(x - 13) > 0

196PRACTICE PROBLEM

For the given inequality expression, solve and write the solution set in interval notation. (x + 2)/(x - 13) > 0

197PRACTICE PROBLEM

For the given inequality expression, solve and write the solution set in interval notation. (4x + 7)/(x - 13) ≤ 0

198PRACTICE PROBLEM

For the given inequality expression, solve and write the solution set in interval notation. (5x + 6)/(x - 17) ≤ 0

199PRACTICE PROBLEM

For the given inequality expression, solve and write the solution set in interval notation. 12/(x - 11) ≥ 3

200PRACTICE PROBLEM

For the given inequality expression, solve and write the solution set in interval notation. 12/(x - 6) ≥ 4

201PRACTICE PROBLEM

For the given inequality expression, solve and write the solution set in interval notation. (x - 11)/(x - 13) < 2

202PRACTICE PROBLEM

For the given inequality expression, solve and write the solution set in interval notation.

(4x - 6)/(x + 5) > 2

203PRACTICE PROBLEM

Provide the solution interval for the given polynomial inequality.

(x - 7)(x + 9) < 0

204PRACTICE PROBLEM

Provide the solution interval for the given polynomial inequality.

- (x + 5)(x + 6) > 0

205PRACTICE PROBLEM

Provide the solution interval for the given polynomial inequality.

- (x + √5)(x - 11) < 0

206PRACTICE PROBLEM

Provide the solution interval for the given polynomial inequality.

(x - 8)(x + √7) < 0

207PRACTICE PROBLEM

For the given inequality expression, solve and write the solution set in interval notation. x⁵ - 2x² + 24 ≥ 2x⁴ - x³ + 12x

208PRACTICE PROBLEM

For the given inequality expression, solve and write the solution set in interval notation. x⁴ + 54x² + 81 ≥ 12x³ + 108x

209PRACTICE PROBLEM

Provide the solution interval for the given polynomial inequality.

(x - 5)² ≤ 0

210PRACTICE PROBLEM

Provide the solution interval for the given polynomial inequality.

-(x + 11)² ≥ 0

Choosing a Method to Solve Quadratics Practice Problems Graphs and Coordinates Practice Problems

Download the Mobile app

Do not sell my personal information

Accessibility

Patent notice

Sitemap