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Linear Inequalities — Maths STD 11 Science — Question

CBSE BoardEnglish MediumSTD 11 ScienceMathsLinear Inequalities1 Mark
Question
Solve 5x – 3 < 3x +1 when x is a real number.
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Answer

We have, 5x –3 < 3x + 1
or 5x –3 + 3 < 3x +1 +3
$\Rightarrow$ 5x < 3x +4
$\Rightarrow$ 5x – 3x < 3x + 4 – 3x
$\Rightarrow$ 2x < 4
$\Rightarrow$ x < 2
Therefore, the solution set of the inequality is x $\in$ (– $\infty$, 2).

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