A) \[\left[ -4,10 \right)\]
B) \[\left( -1,\,6 \right]\]
C) \[\left[ -1,\,6 \right)\]
D) \[\left( -1,\,6 \right)\]
Correct Answer: B
Solution :
[b]| \[-3<2x-1<19\] \[\Rightarrow -2<2x<20\] |
| \[\Rightarrow -1<x<10\] … (i) |
| \[-1\le \frac{2x+3}{5}\le 3\] \[\Rightarrow -5\le 2x+3\le 15\] |
| \[\Rightarrow -8\le 2x\le 15\] |
| \[\Rightarrow -4\le x\le 6\] … (ii) |
| From (i) and (ii), common values of \[x\] are \[\left( -1,\,\,6 \right].\] |
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