Inequality Gate Game
Solve linear inequalities and choose the correct solution direction and exact boundary.
Math puzzle challenges
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Instructions, device progress and accessibility
Select Easy, Normal, or Hard; choose a UTC Daily challenge or unlimited Practice. Solve every algebra problem, then press Check answer. Hints and Undo mark the round as assisted. Scores and completed challenges save locally on your device when available.
Local progress is checked when play begins.
How to play Inequality Gate
Solve linear inequalities and choose the correct solution direction and exact boundary. Start with Easy and move toward Hard when confident. Enter exact answers, including negative values where needed. Use your keyboard or touch controls, and check the answer before requesting a hint.
Understand the mathematics
For −2x + 3 < 9, subtract 3: −2x < 6. Divide by −2 and reverse the inequality to obtain x > −3.
Each practice puzzle generates a new set of algebra questions. The daily challenge is consistent for the same date and difficulty, allowing fair repeat practice.
Worked example
For −2x + 3 < 9, subtract 3: −2x < 6. Divide by −2 and reverse the inequality to obtain x > −3.
Tips for accurate algebra
Treat the comparison as an equation to isolate x, but reverse <, >, ≤ or ≥ when multiplying or dividing by a negative. Check negative values, follow order of operations, and verify the solution against the question.
Frequently asked questions
Why does an inequality flip when dividing by a negative?
Multiplying or dividing by a negative reverses number order. For example, 2 < 3 but −2 > −3.
Does the boundary count for ≤ and ≥?
Yes. Inclusive inequalities contain their boundary value; strict inequalities do not.