If -3<x<5 and -7<y<9, which of the following represent the range of all possible values of y-x?

A -4<y-x<4

B. -2<y-x<4

C. -12<y-x<4

D. -12<y-x<12

E. 4<y-x<12

For Detailed Answers..

To get max value of y-x take max value of y and min value of x: 9-(-3)=12;

To get min value of y-x take min value of y and max value of x: -7-(5)=-12;

Hence, the range of all possible values of y-x is -12<y-x<12.

Answer: D.