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Solve the inequality, 3x – 5 < x + 7, when x is a real number. - Mathematics

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प्रश्न

Solve the inequality, 3x – 5 < x + 7, when x is a real number.

योग

उत्तर

We have, 3x – 5 < x + 7

⇒ 3x < x + 12   .....(Adding 5 to both sides)

⇒ 2x < 12  ......(Subtracting x from both sides)

⇒ x < 6  ......(Dividing by 2 on both sides)

Solution set is {x : x ∈ R and x < 6}, i.e., Any real number less than 6.

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अध्याय 6: Linear Inequalities - Solved Examples [पृष्ठ १००]

APPEARS IN

एनसीईआरटी एक्झांप्लर Mathematics [English] Class 11
अध्याय 6 Linear Inequalities
Solved Examples | Q 1 (iv) | पृष्ठ १००

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