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Linear Inequalities — Maths STD 11 Science — Question

CBSE BoardEnglish MediumSTD 11 ScienceMathsLinear Inequalities1 Mark
MCQ
The value of $x$ for which $|\text{x} + 1|+\sqrt{(\text{x} – 1)} = 0$
  • A
    $0$
  • B
    $1$
  • C
    $-1$
  • ✓
    No value of $x$
✓

Answer

Correct option: D.
No value of $x$
Given, $|\text{x} + 1| +\sqrt{(\text{x} – 1)}= 0, $where each term is non $-$ negative.
So, $ |\text{x} + 1| = 0 $ and $\sqrt{\text{(x-1})}=0$ should be zero simultaneously.
$\text{i}.\text{e}. \text{x} = -1$ and $\text{x}=1,$ which is not possible.
So, there is no value of $x$ for which each term is zero simultaneously.

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