Free Maths Calculator

Inequalities Calculator

Solve linear inequalities with the same moves as equations, plus the one extra rule everyone forgets: dividing or multiplying by a negative flips the sign. The answer comes with the integers that satisfy it, because that is the follow-up question exams ask nine times out of ten.

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Answer

Method, Step by Step

    Worked Example

    Solve 3x + 5 < 14.

    1. Take 5 from both sides: 3x < 9
    2. Divide both sides by 3: x < 3

    Answer: x < 3

    Try These Yourself

    Solve 2x − 3 ≥ 7.Show answerHide answer

    Answer: x ≥ 5

    Add 3: 2x ≥ 10, then divide by 2.

    Solve −2x < 10.Show answerHide answer

    Answer: x > −5

    Divide by −2 and FLIP the sign.

    What is the biggest integer satisfying x < 4.2?Show answerHide answer

    Answer: 4

    Anything under 4.2, and 4 is the biggest whole one.