Q:

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.