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प्रश्न
Mark the correct alternative in each of the following:
If x\[<\]7, then
विकल्प
(a) \[-\]x\[<\]\[-\]7
(b) \[-\]x\[\leq -\]7
(c) \[-\]x\[> -\]7
(d) \[-\]x\[\geq -\]7
उत्तर
\[x < 7\]
\[\text{ subtracting x on both sides, we get }\]
\[ \Rightarrow x - x < 7 - x\]
\[ \Rightarrow 0 < 7 - x\]
\[\text{ subtracting 7 on both sides, we get }\]
\[ \Rightarrow 0 - 7 < 7 - x - 7\]
\[ \Rightarrow - 7 < - x\]
\[ \Rightarrow - x > - 7\]
Hence, the correct option is (c).
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