how do i graph the following inequality: 1/2y>2x+4

Question

i need it to be graphed.

Answer 1

To draw the graph, find the intercepts and draw a line through them.

Put x=0 to find the y-intercept: ½y>4, so y>8. This shows where the broken line meets the y-axis and tells you that the shading is greater than (0,8), which is the area above the line.

Put y=0: 0>2x+4, -4>2x, -2>x, or x<-2. So -2 is the x-intercept and the shading is to the left of x=-2.

The broken line joins the intercepts.