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Greatest Integer Function

Solve the fol...

Question

Solve the following inequality:
${log}_{2} (x^{2} - 2 x) - 3 > 0$

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Solution

${log}_{2} (x^{2} - 2 x) > 3$
$x^{2} - 2 x > 8$
$x^{2} - 2 x - 8 > 0$
$(x - 4) (x + 2) > 0$
$x ε (- \infty, - 2) ⋃ (2, \infty)$

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