Graph the solution to the following system of inequalities?

Question

Graph the solution to the following system of inequalities
1#
y<-2x-3
y>7x-9

2#
y y > or equal to -4x+3

Answer 1

Draw a dashed line through (-3/2,0) and (0, -3) This line represents y< -2x -3)

Draw a second dashed line through (9/7) and (0, -9) This represents the line y>7x-9. Extend bothe lines as far as necessary.
Now shade the area below the first line and above the second line. This is the area that satisfies both inequalities.

The dasshed line means that points that lie on either line do not satisfy the two inequalities.

Do the second problem the same way. To get the points to draw the lines through, simply find the x- and y- intercepts. To get the y-intercept, set x = 0 in equation 1 and you get y = -9. So one of the points is (0,-9). To get the x- intercept, set y = 0 and find that x = 9/2, so now you have your secondpoint (9/2,0).

You should be able to to the rest with no sweat.