Demonstrate your understanding of the following 2 compound inequalities and the effect that dividing by a negative has on an inequality.
1.)
-10 < -3 + x ≤ 21
2.)
2 – x ≥ 1 or 6x – 1 > 17
- Solve the compound inequalities. 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
Your initial post should be at least 250 words in length. Support your claims with examples from required material(s) and/or other scholarly resources, and properly cite any references
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