The solution set for (x+3)+4>-2 x+5 : - Vidyadip

MCQ

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

A
$(-\infty, 2)$
B
$\left(\frac{-2}{3}, \infty\right)$
C
$(-\infty,-2)$
D
$(2, \infty)$

✓

Answer

(b) $\left(\frac{-2}{3}, \infty\right)$
Explanation: $(x+3)+4>-2 x+5$
$\begin{array}{l}\Rightarrow x+7>-2 x+5 \\
\Rightarrow x+7+2 x>-2 x+5+2 x \\
\Rightarrow 3 x+7>5 \\
\Rightarrow 3 x+7-7>5-7 \\
\Rightarrow 3 x>-2 \\
\Rightarrow x>\frac{-2}{3} \\
\Rightarrow x \in\left(\frac{-2}{3}, \infty\right)\end{array}$

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