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LINEAR INEQUALITIES — MATHS STD 11 Science — Question

Gujarat BoardEnglish MediumSTD 11 ScienceMATHSLINEAR INEQUALITIES2 Marks
Question
Solve the inequality: $-15<\frac{3(x-2)}{5} \leq 0$
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Answer

We have $ - 15 < \frac{{3(x - 2)}}{5} \leqslant 0$
$ \Rightarrow - 75 < 3(x - 2) \leqslant 0$$ \Rightarrow - 25 < x - 2 \leqslant 0$
$ \Rightarrow - 23 < x \leqslant 2$

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