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Model Paper 6 — MATHS STD 11 Science — Question

Rajasthan BoardEnglish MediumSTD 11 ScienceMATHSModel Paper 61 Mark
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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