A) \[(-5,\infty )\]
B) \[[5,\infty )\]
C) \[(5,\infty )\]
D) \[[-5,\infty )\]
Correct Answer: C
Solution :
[c] We have \[3x-7>2(x-6)\] |
\[\Rightarrow 3x-7>2x-12\] |
Transferring the term 2x to L.H.S. and the term (-7) to R.H.S., \[3x-2x>-12+7\] |
\[\Rightarrow x>-5\] ?. (i) |
And \[6-x>11-2x\] |
Transferring the term \[(-2x)\] to L.H.S. and the term 6 to R.H.S. \[-x+2x>11-6\] |
\[\Rightarrow x>5\] ? (ii) |
Draw the graph of in equations (i) and (ii) o the number line, |
Hence, solution set of the equations are real numbers, x lying on greater than 5 excluding 5. |
i.e., \[x>5\] \[\therefore \] solution set is \[(5,\,\,\,\infty )\] |
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