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Linear Inequalities

Excel in math and science

Master concepts by solving fun, challenging problems.

It's hard to learn from lectures and videos

Learn more effectively through short, interactive explorations.

Used and loved by over 5 million people

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including olympiad champions, researchers, and professionals.

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Concept Quizzes

Linear Inequalities Warmup
Solution Sets
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Multi-Step
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Absolute Value
Word Problems
Problem Solving

Challenge Quizzes

Level 1
Level 2
Level 3

One-Step Linear Inequalities

Solve \( x+2 < 11 .\)

\[ x < {9} \] \[ x \leq {9} \] \[ x \geq {9} \] \[ x > {9} \]

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by Brilliant Staff

If the inequality \( x + a > 1\) is equivalent to the inequality \( x > 4,\) what is \(a?\)

3 0 4 -3

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by Brilliant Staff

Solve \( -2x < 20.\)

\[ x > {-10} \] \[ x \leq {-10} \] \[ x \geq {-10} \] \[ x < {-10} \]

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by Brilliant Staff

Solve \( -\dfrac{x}{5} \le 3.\)

\[ x \le -15 \] \[ x > -15 \] \[ x \ge -15 \] \[ x < -15 \]

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by Brilliant Staff

Solve \( 12x > 24 .\)

\[ x > {2} \] \[ x < {3} \] \[ x \leq {4} \] \[ x \geq {1} \]

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by Brilliant Staff

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