$ 5 x+7>4-2 x $ Adding $2 x$ on both sides, we get $ 7 x+7>4 $ Subtracting 7 from both sides, we get $ 7 x>-3 $ Dividing by 7 on both sides, we get $ \therefore x>-\frac{3}{7} $ i.e., $x$ takes all real values greater than $-\frac{3}{7}$ $\therefore$ the solution set is $\left(-\frac{3}{7}, \infty\right)$
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