- The document provides instructions for solving a pair of compound inequalities assigned based on the initial of the student's last name. It asks the student to: (1) identify the pair of inequalities assigned to them, (2) solve the inequalities showing all work, (3) write the solution sets algebraically and as unions or intersections of intervals, describing what they represent, and (4) include 5 math vocabulary words in bold in their response.

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MAT 222 Week 2 DQ 1 One-Variable Compound Inequalities
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. Read the
following instructions in order and view the example to complete this
discussion:
a. According to the first initial of your last name, find the pair of
compound inequalities assigned to you in the table below.
If your last initial 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

2. 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

3. 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
b. Solve the compound inequalities as demonstrated in Elementary and
Intermediate Algebra and the Instructor Guidance in the left navigation
toolbar, in your online course, being careful of how a negative x-term is
handled in the solving process. Show all math work arriving at the
solutions.

4. c. 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, in
your online course.
d. 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