One-Variable Compound Inequalities

In this discussion, you will be demonstrating your understanding of compound inequalities and the effect that dividing by a negative has on an inequality view the example attached.

 

Your “and” compound  inequality is:

Your “or” compound inequality is:

–1 < –2x + 4 ≤ 5 x < 0   or   3x + 1 ≥ 7

 

Solve the compound inequalities as demonstrated in the example attached.

  • Be careful of how a negative x-term is handled in the solving process. Show all math work arriving at the solutions.
  • Show the solution sets written algebraically and as a union or intersection of intervals. Describe in words what the solution sets mean, and then display a simple line graph for each solution set. 
  • Incorporate the following five math vocabulary words into your discussion. Use bold font to emphasize the words in your writing. Do not write definitions for the words; use them appropriately in sentences describing your math work.
    • Compound inequalities
    • And
    • Or
    • Intersection
    • Union

 

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