The following is known about three real numbers, x, y and Z.-4 <= x <= 4, -8<= y <= 2, and -8<=z<=2. Then the range of values that M= xz/y can take is best represented by(Please post the Explanation as well)

1) - infinite < x< infinite
2) -16 <= x <=8
3) -8 <= x <=8
4) -16 <= x <=16

• See the expression y/z in M , when we put highest and lowest values of y and z respectively , they get cancelled and 1 is obtained , hence M=x , irrespective of the values of y and z , hence x can take any value of the real no. Hence , option 1 i.e x can vary from negative infinity to positive infinity is correct .
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