Final answer:
The 3 inequalities related to the graph of the equation y=3x+3 are y>3x+3 for the area above the line, y<3x+3 for the area below the line, and the equation itself y=3x+3. These inequalities help to graphically represent different regions of the coordinate plane in relation to the line.
Step-by-step explanation:
The student asked to find the 3 inequalities of a graph with the equation y=3x+3. To address this request, we need to create inequalities that represent the regions above, below, and on the line represented by the equation. Since the line has a y-intercept at 3 and a slope of 3, any point on the line will satisfy the equation y=3x+3.
To find the inequality that represents the region above the line, we use the inequality y > 3x+3. This indicates that the y-value is greater than the value on the line at any given x.
For the region below the line, the inequality is y < 3x+3, signifying that the y-value is less than what is on the line for any x-value.
Last but not least, the inequality to represent the line itself is the given equation, but written using an inequality symbol, which would be displayed as y ≥ 3x+3 or y ≤ 3x+3 depending on the context; however, we typically use the equality y=3x+3 to represent the line without any inequality.
These inequalities can be graphed to visually depict the solutions for each inequality in the context of the coordinate plane with x on the horizontal axis and y on the vertical axis. Each inequality would shade a different part of the plane relative to the line y=3x+3.