2(2x+3) 10 lt;6(x 2) ⇒ 4x+6 10 lt;6x 12 ⇒ 4x 4 lt;6x 12 ⇒ 2x 2 lt;3x 6 ⇒ 2+6 lt;3x 2x ⇒ 4 lt;x ∴ x gt;4 ∴ ...

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Law of Reciprocal

Solve: 22x+3...

Question

Solve: $2 (2 x + 3) - 10 < 6 (x - 2)$

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Solution

$2 (2 x + 3) - 10 < 6 (x - 2)$
$\Rightarrow 4 x + 6 - 10 < 6 x - 12$
$\Rightarrow 4 x - 4 < 6 x - 12$
$\Rightarrow 2 x - 2 < 3 x - 6$
$\Rightarrow - 2 + 6 < 3 x - 2 x$
$\Rightarrow 4 < x$
$∴ x > 4$
$∴ x \in (4, \infty)$

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