Find which of the following system of inequalities has a right triangle as a graphed solution set. System I: System II: System III:
A) No systems have a right triangle as a graphed solution set.
B) Only systems II and III have a right triangle as a graphed solution set.
C) Only systems I and III have a right triangle as a graphed solution set.
D) Only system I has a right triangle as a graphed solution set.
E) Only systems I and II have a right triangle as a graphed solution set.

Question

Find which of the following system of inequalities has a right triangle as a graphed solution set. System I:  System II:  System III: 
A) No systems have a right triangle as a graphed solution set. 
B) Only systems II and III have a right triangle as a graphed solution set. 
C) Only systems I and III have a right triangle as a graphed solution set. 
D) Only system I has a right triangle as a graphed solution set. 
E) Only systems I and II have a right triangle as a graphed solution set.

Quizplus · Accepted Answer

System II: $y \leq \frac{1}{x}$ and $y \geq 0$ has a graphed solution set that is a right triangle with vertices at $(1,0),(0,1),$ and $(-1,0)$.
System III: $y \geq -\frac{1}{x}$ and $y \geq 0$ has a graphed solution set that is a right triangle with vertices at $(1,0),(0,1),$ and $(-1,1)$.

System I does not have a right triangle as a graphed solution set, since it only contains linear inequalities.

Find Which of the Following System of Inequalities Has a Right