algebra

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solve the inequality. Express the solution using interval notation and graph the solution set on the real number line
x-4/x^2-4 greater or equal to O

  • algebra -

    (x-4)/(x^2-4) >= 0

    Either both top and bottom are positive, or both negative

    x-4 > 0 if x > 4
    x^2-4 > 0 if |x| > 2

    only x > 4 satisfies both requirements

    x-4 < 0 if x < 4
    x^2 - 4 < 0 if |x| < 2

    So, -2 < x < 2

    Solution set: (-2,2)U(4,oo)

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