SOLUTION: y<=1/2x+3 y>=3/2x-1 for the system of inequalities above, which of the following statements describes the origin, 0,0 , as a possible solution? A the origin is a solution fo

Algebra ->  Graphs -> SOLUTION: y<=1/2x+3 y>=3/2x-1 for the system of inequalities above, which of the following statements describes the origin, 0,0 , as a possible solution? A the origin is a solution fo      Log On


   

Question 305380: y<=1/2x+3
y>=3/2x-1
for the system of inequalities above, which of the following statements describes the origin, 0,0 , as a possible solution?
A the origin is a solution for y<=1/2x+3 but not y>=3/2x-1.
B the origin is a solution for y>=3/2x-1 but not y<=1/2x+3.
C the origin is not a solution for eather equation.
D the origin is a solution for the entire system.
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Plug (0,0) into both inequalities and find a result for each.
+y%3C=%281%2F2%29x%2B3+
+0%3C=%281%2F2%29%280%29%2B3
+0%3C=3
False
.
.
.
y%3E=%283%2F2%29x-1+
0%3E=%283%2F2%29%280%29-1+
0%3E=-1
True
.
.
.
B) is the only true answer.