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Linear Inequations — Maths STD 11 Science — Question

CBSE BoardEnglish MediumSTD 11 ScienceMathsLinear Inequations1 Mark
MCQ
If − 3x + 17 < -13, then:
  • ✓
    $\text{x}\in(10,\infty)$
  • B
    $\text{x}\in[10,\infty)$
  • C
    $\text{x}\in(-\infty,10]$
  • D
    $\text{x}\in[-10,10)$
✓

Answer

Correct option: A.
$\text{x}\in(10,\infty)$
− 3x + 17 < −13
Subtracting 17 on both sides, we get
⇒ −3x + 17 − 17 < −13 − 17
⇒ −3x < − 30
Dividing −3 on both sides, we get
$\Rightarrow\frac{-3\text{x}}{-3}>\frac{-30}{-3}$
$\Rightarrow\text{x}>10$
$\Rightarrow\text{x}\in(10,\infty)$

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