Question

Graph the three inequalities:

1. r + y = 5
2. 8r + 12y >= 120

Answer 1

To graph the inequalities, rewrite them in standard form. Plot the graphs on a coordinate plane and shade the appropriate regions.

Step-by-step explanation:

To graph the inequalities, we need to convert them to the standard form of an inequality which is Ax + By <= C.

1. The equation r + y = 5 can be rewritten as r + y - 5 = 0. So, the inequality is r + y - 5 <= 0.

2. The inequality 8r + 12y >= 120 can be rewritten as 8r + 12y - 120 >= 0.

Plot the graphs of the two inequalities on the coordinate plane. Shade the region below the line for the first inequality and above the line for the second inequality since it is >= and not >.