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Solving inequalities worksheet

Solve inequalities like 3x + 5 < 20. Harder sets have a negative in front of x, which flips the sign. Free, printable, and the answer key prints on its own page, so the work comes first.

How to solve them

1. Solve it like an equation: undo the + or − first, then the multiplying.
2. If you multiply or divide both sides by a negative number, flip the sign.
3. Check with a number from your answer: it should make the original true.

New to this? The short lesson on it has the rules in one place.

Check the key only once you've finished. A wrong answer is useful: find the first line where your working went wrong, fix that, and redo the problem.