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Linear Inequalities — Maths STD 11 Science — Question

CBSE BoardEnglish MediumSTD 11 ScienceMathsLinear Inequalities1 Mark
MCQ
If $x < 7,$ then:
  • A
    $-\text{x}<-7$
  • B
    $-\text{x}\leq-7$
  • ✓
    $-\text{x}>-7$
  • D
    $-\text{x}\geq-7$
✓

Answer

Correct option: C.
$-\text{x}>-7$
subtracting $x$ on both sides, we get
$\Rightarrow x − x < 7 − x$
$\Rightarrow 0 < 7 − x$
subtracting $7$ on both sides, we get
$\Rightarrow 0 − 7 < 7 − x − 7$
$\Rightarrow −7 < − x$
$\Rightarrow − x > −7$

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