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Warm-Up. Solve:. 1/4/2020 11:06 AM. 1. SOLVING INEQUALITIES. Section 1-5. To Graph Inequalities. Steps: The variable is in front of the sign Determine the sign and its symbol Follow the arrow (x must be on the left!). 1/4/2020 11:06 AM. 3.

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1/4/2020 11:06 AM

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  1. Warm-Up Solve: 1/4/2020 11:06 AM 1

  2. SOLVING INEQUALITIES Section 1-5

  3. To Graph Inequalities • Steps: • The variable is in front of the sign • Determine the sign and its symbol • Follow the arrow (x must be on the left!) 1/4/2020 11:06 AM 3

  4. -2 -1 0 1 2 3 4 5 6 7 8 Example 1 Graph x < 3 onto the number line 1/4/2020 11:06 AM 4 1-1: Sets of Numbers

  5. -2 -1 0 1 2 3 4 5 6 7 8 Example 2 Graph 3 < x onto the number line Rewrite as x ≥ 3 1/4/2020 11:06 AM 5 1-1: Sets of Numbers

  6. -2 -1 0 1 2 3 4 5 6 7 8 Example 3 Graph -1 < x < 3 onto the number line 1/4/2020 11:06 AM 6 1-1: Sets of Numbers

  7. Intervals • Brackets[ ] : DO include endpoints INCLUSIVE • Parentheses( ) : DO NOT include endpoints NOT INCLUSIVEdeals with infinity

  8. < > Intervals Inequalities: < > 1/4/2020 11:06 AM 8

  9. -2 -1 0 1 2 3 4 5 6 7 8 Example 4 Graph (-1, 3] onto the number line and write in inequality notation. 1/4/2020 11:06 AM 9 1-1: Sets of Numbers

  10. -2 -1 0 1 2 3 4 5 6 7 8 Example 5 Graph (-1, 5) onto the number line and write in inequality notation 1/4/2020 11:06 AM 10 1-1: Sets of Numbers

  11. -2 -1 0 1 2 3 4 5 6 7 8 Example 6 Given the graph below, write the expression using interval notation and inequality notation 1/4/2020 11:06 AM 11 1-1: Sets of Numbers

  12. -2 -1 0 1 2 3 4 5 6 7 8 Example 7 Given the graph below, write the expression using interval notation and inequality notation 1/4/2020 11:06 AM 12 1-1: Sets of Numbers

  13. -2 -1 0 1 2 3 4 5 6 7 8 Your Turn Given the graph below, write the expression using interval notation and inequality notation 1/4/2020 11:06 AM 13 1-1: Sets of Numbers

  14. -2 -1 0 1 2 3 4 5 6 7 8 Example 8 Graph x – 6 < 1 onto the number line and write it in interval notation 1/4/2020 11:06 AM 14 1-1: Sets of Numbers

  15. -2 -1 0 1 2 3 4 5 6 7 8 Example 9 Graph 8 – 4(2 – x) < -2x onto the number line and write it in interval notation 1/4/2020 11:06 AM 15 1-1: Sets of Numbers

  16. -7 -6 -5 -4 -3 -2 -1 0 1 2 3 Your Turn Graph 4x + 7 < 2x - 3 onto the number line and write it in interval notation 1/4/2020 11:06 AM 16 1-1: Sets of Numbers

  17. -2 -1 0 1 2 3 4 5 6 7 8 Example 10 Graph -4x < 8 onto the number line and write it in interval notation Remember: When you divide by a negative with an inequality, you must flip the inequality sign! 1/4/2020 11:06 AM 17 1-1: Sets of Numbers

  18. -2 -1 0 1 2 3 4 5 6 7 8 Example 11 Graph onto the number line and write it in interval notation 1/4/2020 11:06 AM 18 1-1: Sets of Numbers

  19. -2 -1 0 1 2 3 4 5 6 7 8 Recap of Different Representations Graph: Inequality Notation: Interval Notation:

  20. Assignment Page 133-134 11-15 odd, 23-37 odd, 57-63 odd Due: Monday! Conjugate & Complex Number WKST DUE TODAY! 1/4/2020 11:06 AM 20 1-1: Sets of Numbers

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