Question

How do you graph the system `y>=2x-7` and `y<-4x-3`?

Answer 1

Solving system of linear equations in 2 variables

Explanation:

(1) `y >= 2x - 7`

(2) `y < - 4x - 3`

First, graph the Line (1) y = 2x - 7
x = 0 -> y = -7 and y = 0 -> x = 7/2
The solution set of this inequality (1) is the area above the Line (1). Shade or color this area.
Next, graph Line (2) y = - 4x - 3
x = 0 -> y = - 3, and y = 0 -> x = - 3/4
The solution set of inequality (2) is the area below the Line (2). Shade or color it.
The combined solution set of the system is the commonly shared area.
Note. The Line (1) y = 2x - 7 is included in the combined solution set.