GMAT Problem Solving Question 58: Algebraic Inequalities

 
Try the following GMAT Problem Solving question that tests your understanding of algebraic inequalities with three variables.

Question 58:

Which of the following must be true ?

1. If $xy < xz$, then $y < z$.
2. If $x^2y < x^2 z$, then $y < z$.
3. If $x-y < x-z$, then $z < y$.

1. $\quad \textrm{None}$
2. $\quad \textrm{I and II only}$
3. $\quad \textrm{II and III only}$
4. $\quad \textrm{I and III only}$
5. $\quad \textrm{I, II, and III}$