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In this discussion, you will be demonstrating your understanding of compound inequalities and the effect that dividing by a negative has on an inequality. Read the following instructions in order and view the example to complete this discussion:

- According to the first letter of your last name, find the pair of compound inequalities assigned to you in the table below.

**If the first letter of your last name is****Your “and” compound inequality is****Your “or” compound inequality is**A or L -4 ≤ 3 + 7x < 24 5 – x ≥ 7 or 8x – 3 > 29 B or K -16 ≤ 2 + 9x ≤ 11 12 – x > 15 or 4x – 13 > 7 C or J -10 < -2 + 8x < 22 4x + 7 < 11 or 1 – x ≤ -2 D or I -17 < 3 + 10x ≤ 33 5x + 3 ≤ -2 or 13 – x ≤ 6 E or H -1 ≤ -3 + 2x < 17 7 – x ≥ 6 or 7x – 1 > 27 F or G -12 < 12 + 4x < 0 12 – x > 15 or 7x – 13 > 1 M or Z -1 ≤ 3 + 2x < 11 1 – x ≥ -3 or 5x – 1 > 19 N or Y -1 < 4 + 5x ≤ 19 2x + 3 ≤ -1 or 10 – x ≤ 5 O or X -4 ≤ 5 + 3x ≤ 11 2x + 2 < 2 or 3 – x ≤ 0 P or W -9 < -1 + 4x < 15 8 – x > 15 or 6x – 13 > 11 Q or V -10 < -3 + x ≤ 21 2 – x ≥ 1 or 6x – 1 > 17 R or U -11 ≤ -5 + 6x < 13 3x + 2 ≤ -1 or 11 – x ≤ 4 S or T 0 ≤ 4 + 2x ≤ 22 3x + 6 < -3 or 5 – x ≤ 1

- Solve the compound inequalities as demonstrated in
*Elementary and Intermediate Algebra*and the Instructor Guidance in the left navigation toolbar, being 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 as demonstrated in the Instructor Guidance in the left navigation toolbar.
- 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. Respond to at least two of your classmates’ posts by Day 7.

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