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|[|x|-7]| -5<0
as modulus of [IxI -7] <5 so, [IxI -7] lies between -5 and 5 as greatest integer is always an integer and in this question, it lies between -5 and 5 so, [IxI-7] can be equal to -4,-3,-2,-1,0,1,2,3,4 so, IxI -7 lies between (-5,5)
-5
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