Answer:
Step-by-step explanation:
Solve the inequality 5x − 4y > 20 for y, as follows: Subtract 5x from both sides, obtaining:
-4y > 20 - 5x;
Then divide all terms by -4:
y < -5 +(5/4)x, where the direction of the inequality sign has been reversed because of division by a negative quantity.
Temporarily replace the < symbol with = obtaining y = -5 +(5/4)x. Now choose at least three x values and find the corresponding y values. For example:
x y = -5 +(5/4)x
0 -5
4 0
-8 -15
Now plot these three points (0, -5), (4, 0) and (-8, -15). Draw a dashed line through them. Because of the < symbol in y < -5 +(5/4)x, shade the area underneath the dashed line.
The graph of the given inequality can be drawn by finding the x-intercept and y-intercept of the line (y = 5x - 20).
Given :
Inequality -- 5x - y > 20
The following steps can be used to sketch the graph of the given inequality:
Step 1 - Write the given inequality.
5x - y > 20
Step 2 - Rewrite the above inequality.
y < 5x -20
Step 3 - Draw the graph of (y = x).
Step 4 - Now, find the y-intercept by comparing the equation (y = 5x - 20) with the slope-intercept form.
c = -20
Step 5 - Now, determine the x-intercept by substitute the value of (y = 0) in the equation (y = 5x - 20) that is:
0 = 5x - 20
x = 4
Step 6 - Now, draw the line that passes through the points (0,20) and (4,0).
Step 7 - Shade the graph of the left side of the line (y = 5x - 20). The resulting graph is the graph of (y < 5x - 20).
For more information, refer to the link given below:
https://brainly.com/question/20104762
