The graph of linear inequality (2y > x – 2) can be drawn by determining the x-intercept and y-intercept of the equation (2y = x - 2).
Given :
Inequality -- 2y > x – 2
The graph of the inequality can be drawn by using the following steps:
Step 1 - First find the y-intercept by putting (x = 0) in equatiuon (2y = x – 2).
[tex]2y = -2[/tex]
y = -1
Step 2 - Now, find x-intercept by putting (y = 0) in equatiuon (2y = x – 2).
[tex]0=x-2[/tex]
x = 2
Step 3 - Now, draw the line that passes through (0,-1) and (2,0).
Step 4 - Now, shade the upper part of the line, the resulting graph is the graph of (2y > x – 2).
Therefore, the correct option is C).
For more information, refer to the link given below:
https://brainly.com/question/4700926
