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A16-1 One-Step Linear Inequalities
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A16-1 One-Step Linear Inequalities

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Transcript

  • 1. Inequalities Algebra 2 6.1 p. 334
  • 2.
    • For each part, check to see if the inequality sign is still facing the right direction.
  • 3. Graphing Linear Inequalities
    • All real numbers less than 2:
    • x < 2
    0
  • 4. Graphing Linear Inequalities
    • All real numbers greater than -2:
    • x > -2
    0
  • 5. Graphing Linear Inequalities
    • All real numbers less than or equal to 1:
    • x  1
    0
  • 6. Graphing Linear Inequalities
    • Real numbers greater than or equal to 0:
    • x  0
    0
  • 7. Graphing Linear Inequalities
    • An open dot is used for < or > and a solid dot for  or  .
  • 8. Example 1
    • Average speed = distance
    • time
    • A faster runner’s average speed must be greater than Sue’s average speed.
  • 9. Example 1
    • Since the problem asks for all the runners faster than Sue, we will represent that with a variable (like x).
  • 10. Example 1
    • Since the problem asks for all the runners faster than Sue, we will represent that with a variable (like x).
    • Faster average speed = x
    • Distance = 2 miles
    • Sue’s time = 10 minutes
  • 11. Example 1
    • Faster average speed > distance
    • Sue’s time
    • x > 2 / 8
  • 12. Solving Inequalities
    • You solve linear inequalities the same way you solve equations.
    • The only difference is that you HAVE TO flip the inequality sign when multiplying or dividing by a negative number .
  • 13. Solving Inequalities
    • Reverse addition and subtraction
  • 14. Solving Inequalities
    • Reverse addition and subtraction
    • Reverse multiplication and division
  • 15. Solving Inequalities
    • Reverse addition and subtraction
    • Reverse multiplication and division
    • Reverse exponents
  • 16. Solving Inequalities
    • Reverse addition and subtraction
    • Reverse multiplication and division
    • Reverse exponents
    • Reverse parentheses