Answer:
You should be able to get a few sentences from the instructions below.
Step-by-step explanation:
Assume that you must graph the inequality
x > y - 3
1. Solve the inequality for y
y < x + 3
2. Plot a few points for the "y =" line
I chose
[tex]\begin{array}{rl}\mathbf{x} & \mathbf{y} \\-3 & 0 \\0 & 3 \\3 & 6 \\\end{array}[/tex]
You should get a graph like Fig 1.
3. Draw a straight line through the points
Make it a solid line if the inequality is "≤" or "≥", to show that points on the line satisfy the inequality.
Make it a dashed line if the inequality is "<" or ">", to show that points on the line do not satisfy the inequality.
See Fig. 2.
4. Test a point to see if it satisfies the inequality
I like to use the origin,(0,0), for easy calculating.
y < x + 3
0 < 0 + 3
0 < 3. TRUE.
If TRUE, shade the side of the line that contains the point.
If FALSE, shade the other side of the line.
And you're done (See Fig. 3).
