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Model Paper 6 — Maths STD 11 Science — Question

CBSE BoardEnglish MediumSTD 11 ScienceMathsModel Paper 61 Mark
MCQ
The solution set for $(x + 3) + 4 > -2x + 5:$
  • A
    $(-\infty, 2)$
  • ✓
    $\left(\frac{-2}{3}, \infty\right)$
  • C
    $(-\infty,-2)$
  • D
    $(2, \infty)$
✓

Answer

Correct option: B.
$\left(\frac{-2}{3}, \infty\right)$
$(x+3)+4>-2 x+5$
$\Rightarrow x +7>-2 x +5$
$\Rightarrow x +7+2 x >-2 x +5+2 x$
$\Rightarrow 3 x +7>5$
$\Rightarrow 3 x +7-7>5-7$
$\Rightarrow 3 x >-2$
$\Rightarrow x >\frac{-2}{3}$
$\Rightarrow x \in\left(\frac{-2}{3}, \infty\right)$

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