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Linear Inequalities — Maths STD 11 Science — Question

CBSE BoardEnglish MediumSTD 11 ScienceMathsLinear Inequalities1 Mark
MCQ
If $\frac{\big[\text{x} – 7\big]}{(\text{x} – 7)\geq 0}$ then:
  • A
    $\text{x}\in\big[7,\infty)$
  • ✓
    $\text{x}\in(7,\infty)$
  • C
    $\text{x}\in(\infty, 7)$
  • D
    $\text{x}\in(-\infty, 7)$
✓

Answer

Correct option: B.
$\text{x}\in(7,\infty)$
Given,
$\frac{|\text{x}-7|}{(\text{x}-7)}\geq0$
This is possible when $\text{x}-7\geq0,$ and $\text{x}-7\neq0.$
Here, $\text{x}\geq7$ but $\text{x}\neq7$
Therefore, $\text{x}> 7,$
i.e $\text{x}\in(7,\infty).$

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