Graph the solution set of this inequality: 5x − 4y > 20.
Accepted Solution
A:
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 -15Now 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.