Type powers with ^ (x^2) or x², multiplication with * or by writing 2x, and functions such as sqrt(x), sin(x), ln(x) and e^x. Answers are calculated exactly with fractions and radicals when possible.

Solution set

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Step by step

    How to use Inequality Solver

    Type an inequality such as x^2 - 5x + 6 > 0 or (x-1)/(x+2) ≥ 0. The answer is shown in interval notation and on a number line.

    1. Type the inequality using <, >, <= (≤) or >= (≥).
    2. The solver finds the critical points and tests the sign between them.
    3. Read the interval notation; filled dots are included, open dots are not.

    Questions

    Why is a point excluded even with ≤?

    Values that make a denominator zero are never part of the solution, because the expression is undefined there.

    What does the ∪ symbol mean?

    Union: the solution is the combination of the intervals on either side, for example (−∞, 2) ∪ (3, ∞).

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