# How do you graph the inequality y <= 4x - 1 ?

Dec 2, 2015

Graph and solve the inequality $y \le 4 x - 1$

#### Explanation:

$y \le 4 x - 1$ (1).
First, graph the Line y = 4x - 1 (2) by its intercepts.
To find y-intercept, make x = 0 --> y = -1.
To find x-intercept, make y = 0 --> 4x = 1 --> $x = \frac{1}{4.}$
Join these 2 intercepts to get Line (2).
The solution set of inequality (1) is the area below this Line (2). Color or shade this area, it is the answer.
Note: The Line (2) is included in the solution set.
graph{4x - 1 [-10, 10, -5, 5]}