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

MCQ

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