A) \[[1,\infty )\]
B) \[(1,\infty )\]
C) \[(-5,5)\]
D) \[[-5,5]\]
Correct Answer: A
Solution :
[a] We have \[\frac{3x-4}{2}\ge \frac{x+1}{4}-1\] or \[\frac{3x-4}{2}\ge \frac{x-3}{4}\] or \[2(3x-4)\ge (x-3)\,\,\,or\,\,\,\,6x-8\ge x-3\] or \[5x\ge 5\] or \[x\ge 1\] Thus, all real numbers which are greater than or equal to 1 is the solution set of the given inequality. \[\therefore x\in [1,\infty ).\]
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