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Law of Reciprocal

Solve: 2x+5>...

Question

Solve: $2 x + 5 > 3 x - 5$

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Solution

$2 x + 5 > 3 x - 5$
$\Rightarrow 2 x + 5 - 3 x + 5 > 0$
$\Rightarrow - x + 10 > 0$
$\Rightarrow - x > - 10$
$\Rightarrow x < 10$
$∴ x \in (- \infty, 10)$

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