x-2y<3 determine the solution set and show the graph

Question

determine the solution set and show a graph for x-2y<3

 

Answer 1

Hi Carley,

 

x-2y<3, solve for y

 

x-2y+2y-3<3+2y-3

 

<=> x-3<2y

 

<=> y>0.5x -1.5

 

Now you draw the graph of y=0.5x-1.5 ignoring the inequality

 

pick any point on any one of the two sides of the graph and test to see if it satisfies the inequality

 

I pick (0,0) because it is easy to work with. Just put o where you see x and y and test

 

0>0.5*0-1.5

 

<=> 0>-1.5 because zero is greater than -1.5 the side that contains the origin (0,0) is the solution

 

I hope this helps