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Question

The minimum integral value of the x for which x2x+5>2 is .

A
-12
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B
-11
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C
-10
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D
-13
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Solution

The correct option is B -11
x2x+5>2x2x+52>0x22(x+5)x+5>0x22x10x+5>0(x+12)x+5>0x+12x+5<0x+12 >0 and x+5<0x>12 and x <5 ORx+12 <0 and x+5>0x<12 and x >5(This is not possible)Hence, x>12 and x<5.Minimum integral value of x satisfying the given inequality is 11.


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