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Finite and Infinite Set

Solve the ine...

Question

Solve the inequation $5 (x - 2) > 4 (x + 3) - 24$

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Solution

$5 (x - 2) > 4 (x + 3) - 24$
$5 x - 10 > 4 x + 12 - 24$
$5 x - 10 > 4 x - 12$
$x > 10 - 12$
$x > - 2$
$x + (- 2, \infty)$

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