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Learn to solve one-step inequalities using addition, subtraction, multiplication, and division. Understand how to graph and check your solutions effectively. Improve your inequality-solving skills with practical examples and clear explanations.
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One Step Inequalities • Solve inequalities just like you would solve equations. • Inequalities with Addition & Subtraction • Do the opposite operations to get the variable by itself. • Inequalities with Multiplication & Division • Do the opposite operation to get the variable by itself. • If you are dividing or multiplying by a negative number, you have to change the inequality sign to its opposite!
Adding or Subtracting One Step Inequalities 1. n – 8 < 15 + 8 + 8 add 8 to both sides n < 23 2. -4 ≥ a + 7 -7 - 7 subtract 7 from both sides -11 ≥ a
Multiplying or Dividing One Step Inequalities 3. -3x > 24 -3 -3 Divide both sides by -3 x < -8 Change the inequality sign 4. ≤ 8 Multiply both sides by -2 a ≥ -16 Change the inequality sign
Graphing & Checking One Step Inequalities • Graph • Check: n – 8 < 15 • 2. Graph • Check: -4 ≥ a + 7 • 3. Graph • Check: -3x > 24 • 4. Graph • Check: ≤ 8