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

Jul 23, 2017

When it is $\ge$, 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 $\left(0 , 4\right)$ and $\left(- 4 , 0\right)$:

To obtain a graph of the $x \ge x + 4$, shade in the area above the line:

Draw a dashed line, $y = 6 x - 3$, by placing a straight edge along the points $\left(0 , - 3\right)$ and $\left(\frac{1}{2} , 0\right)$:

Shade in the area above the line:

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