11 5x gt;3 6x ⇒ 11 5x+6x gt;3 6x+6x ⇒ 11+x gt;3 ⇒ 11+x 11 gt;3 11 ⇒ x gt; 8 ∴ x∈( ∞, 8) ...

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

Solve: 11-5x...

Question

Solve: $11 - 5 x > 3 - 6 x$

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Solution

$11 - 5 x > 3 - 6 x$
$\Rightarrow 11 - 5 x + 6 x > 3 - 6 x + 6 x$
$\Rightarrow 11 + x > 3$
$\Rightarrow 11 + x - 11 > 3 - 11$
$\Rightarrow x > - 8$
$∴ x \in (- \infty, - 8)$

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