If −3<x<5 and −7<y<9, which of the following represents the range of all possible values of y−x?
In the solution provided,the max value of y is taken as 9 whereas the min value of x is taken as -3.Is this a mistake in the question or we can ignore < and consider it as <= ?
Range of y-x will be defined as least value of y-x, and greatest value of y-x
y-x will least when y has its smallest value and x has its greatest value. so y - x = -7 - 5 = -12
y-x will greatest when y has its greatest value and x has its least value. so y - x = 9 - (-3) = 9+3 = 12
So range y-x = -12 < y-x < 12 Choice D
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