3 years ago

Which value of x is a solution for the inequality9-2/3 (3-x)> 11

1 answer:

8 0

$9-\dfrac{2}{3}(3-x) > 11\ \ \ \ |multiply\ both\ sides\ by\ 3\\\\3\cdot9-3\cdot\dfrac{2}{3}(3-x) > 3\cdot11\\\\27-2(3-x) > 33\ \ \ \ |use\ distributive\ property:a(b-c)=ab-ac\\\\27-6+2x > 33\\\\21+2x > 33\ \ \ \ |subtract\ 21\ from\ both\ sides\\\\2x > 12\ \ \ \ |divide\ both\ sides\ by\ 2\\\\\boxed{x > 6}\to x\in(6;\ \infty)$

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