2.
Properties of Inequalities
• Addition Property:
• If you add the same number to both
sides of an inequality, it remains true.
3.
• Subtraction Property:
• If you subtract the same number from
both sides of an inequality, it remains
true.
4.
• Multiplication/Division Property
(Case 1):
• If you multiply/divide both sides of an
inequality by the same positive number, it
remains true.
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.
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.
Example 1
• Solve x – 6 ≥ 10. Graph the solution.
8.
You Try!
• Solve b – 2 > -9. Graph the solution.
9.
Example 2
• Solve -8 > 1.4 + x. Graph the solution.
10.
You Try!
• Solve k + 5 ≤ -3. Graph the solution.
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