(St)range?
If and ), which of the following represents the range of all possible values of , If and are real numbers ?
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1 solution
To determine the lower limit and upper limit of y − x , calculate y − x using every combination of endpoints.
( − 7 and 9 for y and − 3 and 5 for x )
− 7 − ( − 3 ) = − 4
− 7 − 5 = − 1 2
9 − ( − 3 ) = 1 2
9 − 5 = 4
The lower limit of the case above is − 1 2 . The upper limit of the case above is 1 2 .
Thus the ans is − 1 2 < ( y − x ) < 1 2