How do you solve and graph inequalities?

To solve inequalities, use similar steps as solving equations: isolate the variable using addition, subtraction, multiplication, or division. However, when you multiply or divide both sides by a negative number, reverse the inequality sign.

Graphing inequalities on a number line:

1. Draw a number line.
2. Use an open circle for "", and a closed circle for "≤" or "≥".
3. Shade the side of the line representing all solutions.

Example:
Solve and graph: x + 3 > 5
Solution:
x + 3 > 5
x > 2

Graph:

• Draw an open circle at 2 (since 2 is not included)
• Shade to the right, showing all numbers greater than 2 are solutions

Takeaways:

• Solve like equations; reverse the sign if multiplying/dividing by a negative.
• Use open/closed circles and shading to graph solution sets.