SOLUTION: If p + q < r - t < w - v, and z < 0, which of the following must be false? I. zr - zt > zp + zq II. zp + zq < zw - zv III. zr - zt > zw - zv A. I B. II C. III D. I

Algebra ->  Expressions-with-variables -> SOLUTION: If p + q < r - t < w - v, and z < 0, which of the following must be false? I. zr - zt > zp + zq II. zp + zq < zw - zv III. zr - zt > zw - zv A. I B. II C. III D. I      Log On


   



Question 1130810: If p + q < r - t < w - v, and z < 0, which of the following must be false?
I. zr - zt > zp + zq II. zp + zq < zw - zv III. zr - zt > zw - zv
A. I
B. II
C. III
D. I and II
E. II and III

Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
If p+%2B+q+%3C+r+-+t+%3C+w+-+v, and z+%3C+0,
which of the following must be false?

I. zr+-+zt+%3E+zp+%2B+zq+.....substitute z with -1
-r+-%28-t%29+%3E+-p+-q+
t-r+%3E+-%28p+%2B+q+%29--> if -%28p+%2B+q+%29 is < than %28p+%2B+q+%29 would be > tan t-r or -%28r-t%29

II. zp+%2B+zq+%3C+zw+-+zv+...........same way do the other two

III. zr+-+zt+%3E+zw+-+zv+
answer:
I and II are false