# How do you graph the inequality y - 5 > 2(x - 5)?

Nov 26, 2015

Graph and solve the inequality: y - 5 > 2(x - 5)

#### Explanation:

y - 5 > 2x - 10
y > 2x - 5 (1)
First, graph the linear function y = 2x - 5 (2) by its intercepts.
Make x = 0, --> y-intercept --> (0, -5)
Make y = 0, --> 2x - 5 = 0 --> x-intercept --> $\left(\frac{5}{2} , 0\right) .$
The solution set of the inequality (1) is the whole area above the line (2).