Compound inequalities

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Intros
Lessons
  1. Introduction to compound inequalities

    i. Recap of inequalities symbols

    ii. Ideas of AND and OR

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Examples
Lessons
  1. Evaluate Compound Inequalities: OR

    Solve the following compound inequalities:

    4x164x - 16 < 16  16\; OR   8x+151\;8x + 15 \leq -1

  2. Solve the following compound inequalities:

    4x+54x + 5 < 13  13\; OR   3x\;3x > 3939

  3. Evaluate Compound Inequalities: AND

    Solve the following compound inequalities:

    4x+304x + 30 > 34  34\; AND   12x6\;12x - 6 > 1818

  4. Solve the following compound inequalities:

    6x+2-6x + 2 > 20  20\; AND   13x+1150\;13x + 11 \leq 50

  5. Analyze the Alternate Form of Compound Inequalities: AND

    Solve the following compound inequalities:

    53x+17-5 \leq 3x + 1 \leq 7

  6. Solve the following compound inequalities:

    14-14 < 15x111 - 5x \leq 11

  7. Special Cases: No solution, All Real Numbers

    Solve the following compound inequalities:

    3x33x - 3 < 9  9\; AND   6x+1\;6x + 1 > 3737

  8. Solve the following compound inequalities:

    5x+65x + 6 < 36  36\; OR   3x18\;-3x \leq 18