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LINEAR INEQUALITIES — MATHS STD 11 Science — Question

Gujarat BoardEnglish MediumSTD 11 ScienceMATHSLINEAR INEQUALITIES2 Marks
Question
Solve the inequality: $6 \leq- 3(2x - 4) < 12$
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Answer

We have $6 \leqslant - 3(2x - 4) < 12$
$ \Rightarrow 2 \geqslant (2x - 4) > - 4 \Rightarrow 2 \geqslant 2x > 0$
$ \Rightarrow 1 \geqslant x > 0 \Rightarrow 0 < x \leqslant 1$

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