# 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.

–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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