Question

How do you graph the inequality `y>= x+4` and `y >6x-3`?

Answer 1

When it is `>=`, make the line solid and shade in above the line. When it is just `>`, make the line dashed and shade in above the line.

Explanation:

Draw a solid line, `y = x + 4`, by placing a straight edge along the points `(0,4)` and `(-4,0)`:

To obtain a graph of the `x >=x+4`, shade in the area above the line:

Draw a dashed line, `y = 6x -3`, by placing a straight edge along the points `(0,-3)` and `(1/2, 0)`:

Shade in the area above the line:

The magenta region is the region that makes both inequalities be true.