Question 1059471: solve the following inequality system please
2x+y<1
-x+2y>0 Found 2 solutions by acw1213, MathTherapy:Answer by acw1213(28) (Show Source):
You can put this solution on YOUR website! You need to first get your systems of equations into slope-intercept form, y = mx + b.
For 2x + y < 1, subtract 2x on both sides:
y < 2x + 1
Now, with -x + 2y > 0, add "x" on both sides:
2y > -x + 0
Divide by 2 on both sides:
y > -1/2x
Graph these inequalities and where both shadings overlap is your solution region.
Solve each inequality for y
y < - 2x + 1 ----- (i) -------- (ii)
Graph y < - 2x + 1, and shade BELOW the BROKEN LINE
Graph , and shade ABOVE the BROKEN LINE
Where the 2 OVERLAP is the solution area
