3-2/3-3 Solving One-Step
Inequalities
Properties of Inequalities
• Addition Property:
• If you add the same number to both
sides of an inequality, it remains tr...
• Subtraction Property:
• If you subtract the same number from
both sides of an inequality, it remains
true.
• Multiplication/Division Property
(Case 1):
• If you multiply/divide both sides of an
inequality by the same positive num...
• Multiplication/Division Property
(Case 2):
• If you multiply/divide both sides of an
inequality by the same negative num...
Solving One-Step Inequalities
• Just like solving equations!
• Do opposite operations to get variable
alone.
• BE CAREFUL!...
Example 1
• Solve x – 6 ≥ 10. Graph the solution.
You Try!
• Solve b – 2 > -9. Graph the solution.
Example 2
• Solve -8 > 1.4 + x. Graph the solution.
You Try!
• Solve k + 5 ≤ -3. Graph the solution.
Example 3
• Solve

. Graph the solution.
You Try!
• Solve 3x ≤ 24. Graph the solution.
Example 4
• Solve -7y ≤ -35. Graph the solution.
You Try!
• Solve

. Graph the solution.
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3 2, 3-3 solving one-step inequalities

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3 2, 3-3 solving one-step inequalities

  1. 1. 3-2/3-3 Solving One-Step Inequalities
  2. 2. Properties of Inequalities • Addition Property: • If you add the same number to both sides of an inequality, it remains true.
  3. 3. • Subtraction Property: • If you subtract the same number from both sides of an inequality, it remains true.
  4. 4. • Multiplication/Division Property (Case 1): • If you multiply/divide both sides of an inequality by the same positive number, it remains true.
  5. 5. • Multiplication/Division Property (Case 2): • If you multiply/divide both sides of an inequality by the same negative number, the inequality symbol must be reversed to remain true.
  6. 6. Solving One-Step Inequalities • Just like solving equations! • Do opposite operations to get variable alone. • BE CAREFUL! ▫ If you multiply or divide by a negative number, you must reverse the inequality symbol!
  7. 7. Example 1 • Solve x – 6 ≥ 10. Graph the solution.
  8. 8. You Try! • Solve b – 2 > -9. Graph the solution.
  9. 9. Example 2 • Solve -8 > 1.4 + x. Graph the solution.
  10. 10. You Try! • Solve k + 5 ≤ -3. Graph the solution.
  11. 11. Example 3 • Solve . Graph the solution.
  12. 12. You Try! • Solve 3x ≤ 24. Graph the solution.
  13. 13. Example 4 • Solve -7y ≤ -35. Graph the solution.
  14. 14. You Try! • Solve . Graph the solution.

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