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Solving Equations with Linear Expressions on One Side and Numbers on the Other Side

the set of va...

Question

the set of values of x satisfying 2X-3/3x-5>3

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Solution

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x

(x - 1) (x - 2) < 0

(3 x - 7) (2 x - 3) > 0

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(\sqrt{3} + 1)^{2 x} + (\sqrt{3} - 1)^{2 x} = 2^{3 x}

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\sqrt{x^{2} - x - 6} < 2 x - 3

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{(\sqrt{3} + 1)}^{2 x} + {(\sqrt{3} - 1)}^{2 x} = 2^{3 x}

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(2^{x + 2} - 2^{x + 3} - 2^{x + 4} > 5^{x + 1} - 5^{x + 2})

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