SOLUTION: How would you show the regions which satisfy (or plot on a graph) the inequality : x + y < 3 and x - y > 2 I am year 8. Thank you, Nicole

Algebra ->  Inequalities -> SOLUTION: How would you show the regions which satisfy (or plot on a graph) the inequality : x + y < 3 and x - y > 2 I am year 8. Thank you, Nicole      Log On


   

Question 47: How would you show the regions which satisfy (or plot on a graph) the inequality :
x + y < 3
and
x - y > 2
I am year 8. Thank you, Nicole
Answer by ichudov(507) About Me  (Show Source):
You can put this solution on YOUR website!
To graph these inequalities, the easiest thing is to first rewrite them so that on the left side, there is only y.
x + y < 3, x - y > 2
y < 3-x, y < x-2
Then, plot two functions: y=3-x, y=x-2: graph%28+300%2C+200%2C+-5%2C+5%2C+-5%2C+5%2C+3-x%2C+x-2%29+
because both equations say y < something, our solution is the area below both straight lines.