The solution set for $(x + 3) + 4 > - 2 x + 5$ is

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Solution

$x + 3 + 4 > - 2 x + 5$
$\Rightarrow x + 7 > - 2 x + 5$
$\Rightarrow x + 2 x > 5 - 7$
$\Rightarrow 3 x > - 2$
$\Rightarrow x > \frac{- 2}{3}$
$∴ x \in (\frac{- 2}{3}, \infty)$

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