Question

Graph the system of linear inequalities and shade in the solution set. If there are no solutions, graph the corresponding lines and do not shade in any region X - y > 2 Y < - 3x + 4

Answer 1

We have the first inequality:

X - y > 2

Solve for y :

y<2+x

Now, we can graph the boundary line

Find the intercept points :

set x=0, to find the y-intercept:

y<2+0

y<2

set y=0, to find the x-intercept point:

0<2+x

x<2

Then, the graph is:

Now, the second inequality:

y<-3x+4

Set x=0, to find the y-intercept:

y<-3(0) +4

y<4

Set y=0, to find the x-intercept:

0<-3x+4

4<-3x

3/4>x

Then, we can graph the inequality:

Now, both graph inequalities together :