# one-variable compound inequalities | Algebra homework help

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.

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 –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