Final answer:
To graph the inequality r + y < 12, follow these steps: graph the line r + y = 12, shade the area below the line, and this shaded region represents all the points that satisfy the inequality.
Step-by-step explanation:
To graph the inequality r + y < 12, we can follow these steps:
- Start by graphing the equation r + y = 12 as a straight line.
- Because our inequality is r + y < 12 (less than), we need to shade the area below the line.
- This shaded region represents all the points that satisfy the inequality.
For example, if we choose a point below the line and substitute its coordinates into the inequality, the inequality will be true. Conversely, if we choose a point above the line, the inequality will be false.