Compound inequalities

Lessons

• Introduction
  Introduction to compound inequalities

  i. Recap of inequalities symbols

  ii. Ideas of AND and OR

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• 1.
  Evaluate Compound Inequalities: OR

  Solve the following compound inequalities:

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

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• 2.
  Solve the following compound inequalities:

  $4x + 5$ < $13\;$ OR $\;3x$ > $39$

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• 3.
  Evaluate Compound Inequalities: AND

  Solve the following compound inequalities:

  $4x + 30$ > $34\;$ AND $\;12x - 6$ > $18$

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• 4.
  Solve the following compound inequalities:

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

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• 5.
  Analyze the Alternate Form of Compound Inequalities: AND

  Solve the following compound inequalities:

  $-5 \leq 3x + 1 \leq 7$

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• 6.
  Solve the following compound inequalities:

  $-14$ < $1 - 5x \leq 11$

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• 7.
  Special Cases: No solution, All Real Numbers

  Solve the following compound inequalities:

  $3x - 3$ < $9\;$ AND $\;6x + 1$ > $37$

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• 8.
  Solve the following compound inequalities:

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

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