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.