SOLUTION: give the following system of inequalities on the same coordinate plane. Label the solution set S. Be sure to include all labels. y<2x-3 y>= -2/3x+2

Algebra ->  Coordinate-system -> SOLUTION: give the following system of inequalities on the same coordinate plane. Label the solution set S. Be sure to include all labels. y<2x-3 y>= -2/3x+2      Log On


   

Question 174498: give the following system of inequalities on the same coordinate plane. Label the solution set S. Be sure to include all labels.
y<2x-3
y>= -2/3x+2
Answer by checkley77(12844) About Me  (Show Source):
You can put this solution on YOUR website!
y<2x-3 or y=2x-3 (red line)
y>= -2/3x+2 or y=-2x/3+2 (green line)
+graph%28+300%2C+200%2C+-6%2C+5%2C+-10%2C+10%2C+2x+-3%2C+-2x%2F3+%2B2%29+ (graph 300x200 pixels, x from -6 to 5, y from -10 to 10, of TWO functions 2x -3 and -2x/3 +2 ).
y=2x-3
y=-2x/3+2
2x-3=-2x/3+2
2x+2x/3=2+3
(6x+2x)/3=5
8x/3=5
8x=15
x=15/8
x=1.875 ans.
y=2*1.875-3
y=3.75-3
y=.75 ans.
Solution (1.875,0.75)