C. Steps for Graphing the Solutions to Inequalities with One Variable
** Make sure the
variable is on the LEFT in all solutions.
- A solution with >
- Graph an open circle on the number. (The number is not part of the solution.)
- A darkened bar with an arrow goes to the right of the circle.
- A solution with <
- Graph an open circle on the number. (The number is not part of the solution.)
- A darkened bar with an arrow goes to the left of the circle.
- A solution with ≥
- Graph a solid circle on the number. (The number is part of the solution.)
- A darkened bar with an arrow goes to the right of the circle.
- A solution with ≤
- Graph a solid circle on the number. (The number is part of the solution.)
- A darkened bar with an arrow goes to the left of the circle.
- A solution with a fraction.
- Determine the two integers that the fraction falls between.
- Use these two integers to make one big unit on the number line.
- Divide this unit into the appropriate fractional parts like 1/4's, 1/2's, 1/3's, etc.
- Then graph using Steps 1-4 given above.
- A solution with a decimal.