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

1 Answer
Dec 2, 2015

Graph and solve the inequality #y <= 4x - 1#

Explanation:

#y <= 4x - 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 = 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]}