Solving & Graphing Inequalities

Solve Inequalities

Work Time

Apply the Learning: Solve Inequalities

Addition Property of Inequality
You can add any number to both sides of an inequality and the result will be true.

Multiplication Property of Inequality
You can multiply both sides of an inequality by any positive number and the result will be true. If you multiply both sides of an inequality by a negative number, you will need to reverse the direction of the inequality sign in order for the inequality to be true.

Solve each inequality and represent on a graph. Check your solution by checking values.

  1. x + 6 > 3
  2. −4x ≥ 12
  3. 4 − 2x < 12
  4. 3x + 4 ≥ 15

INTERACTIVE: Graphing Inequalities

Hint:

Think about how you can check your work using the solution on the number line.