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Your initial discussion thread is due on Day 3 (Thursday) and you have until Day 7 (Monday) to respond to your classmates. Your grade will reflect both the quality of your initial post and the depth of your responses. Carefully review the Grading Rubric for guidance on how your discussion will be evaluated.
One-Variable Compound Inequalities [CLOs: 1, 2] |
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 (available for download in your online classroom) to complete this discussion. Please complete the following problems according to your assigned number. (Instructors will assign each student their number.)
If your assigned number is: |
Your “and” compound inequality is: |
Your “or” compound inequality is: |
1 | –3 ≤ x + 2 < 9 | 7 + 2x < –1 or 13 – 5x ≤ 3 |
2 | –1 ≤ x – 3 ≤ 5 | –2x – 5 < –2 or x – 3 < –10 |
3 | –10 < 3x – 1 < 5 | 6 > 2x – 1 or –4 ≤ –3x + 2 |
4 | –18 < 4x + 2 ≤ 30 | 3x – 7 > –10 or 5x + 2 ≤ 22 |
5 | 4 ≤ x – 3 < 20 | x + 3 < –2 or 3x – 4 < 8 |
6 | –30 < 2x + 2 < 10 | 3x – 11 < 4 or 4x + 9 ≥ 1 |
7 | –15 ≤ –4x –5 < 0 | 1 – x < –2 or 2x + 1 > 9 |
8 | –5 < 4x + 1 ≤ 3 | 3x + 2 ≤ 2 or 3 – x ≤ 1 |
9 | 9 ≤ 5 + 2x ≤ 19 | 2x – 1 > 5 or 2 – 3x > 11 |
10 | –2 < –1 – 4x < 12 | 2x – 7 ≤ 5 or 5 – 2x > 3 |
11 | –3 < x + 5 ≤ 5 | –3x – 5 > 4 or 4 – x ≤ 6 |
12 | –28 ≤ 2 – 6x < 20 | 4x + 3 ≤ 16 or – 2x < 3 |
13 | 0 ≤ 4 + 2x ≤ 1 | 5 – 3x ≤ 8 or 2x + 1 > 7 |
14 | 10 ≤ 2 + 4x < 20 | 4x + 3 < 16 or –2x < 3 |
15 | –12 ≤ 2 + 2x ≤ 10 | 2x – 1 ≥ 3 or x < –2 |
16 | –6 < 3x – 9 ≤ 0 | 1 > 6x – 8 or 8x – 6 ≤ 10 |
17 | –1 < 6x + 1 ≤ 13 | 5x –5 ≥ –5 or 5 – x ≤11 |
18 | 5 ≤ –3x – 2 < 8 | 5x ≤ 15 or –x – 6 < 1 |
19 | –1 < –2x + 4 ≤ 5 | x < 0 or 3x + 1 ≥ 7 |
20 | 0 ≤ 6x + 3 < 12 | –x + 7 ≥ 10 or 3x – 3 ≤ 12 |
21 | –2 < 26 + 7x ≤ 4 | 3x + 8 > 0 or – 2x ≥ 4 |
22 | –7 < 2x – 5 ≤ –4 | 8x – 4 > 6 or 3x + 18 ≤ –6 |
23 | –6 < 1 + 4x < 17 | 6x – 10 > 8 or 8x + 2 < 5 |
24 | –2 < –4 + x ≤ 22 | 5x + 1 ≥ 6 or 2x – 5 ≤ –11 |
25 | 5 ≤ 5 + 4x < 13 | 6x + 2 ≤ –10 or 6x –12 ≥ 0 |
26 | 4 ≤ 2 + 4x ≤ 16 | x + 2 < –1 or – x ≤ 9 |
27 | 0 ≤ –3 + 8x ≤ 22 | 2x – 9 ≤ 3 or 3x – 8 > 28 |
28 | –4 ≤ 3 + 7x < 24 | 5 – x ≥ 7 or 8x – 3 > 29 |
29 | –16 ≤ 2 + 9x ≤ 11 | 12 – x > 15 or 4x – 13 > 7 |
30 | –10 < –2 + 8x < 22 | 4x + 7 < 11 or 1 – x ≤ –2 |
31 | –17 < 3 + 10x ≤ 33 | 5x + 3 ≤ –2 or 13 – x ≤ 6 |
32 | –1 ≤ –3 + 2x < 17 | 7 – x ≥ 6 or 7x – 1 > 27 |
33 | –12 < 12 + 4x < 0 | 12 – x > 15 or 7x – 13 > 1 |
34 | –1 ≤ 3 + 2x < 11 | 1 – x ≥ –3 or 5x – 1 > 19 |
35 | –1 < 4 + 5x ≤ 19 | 2x + 3 ≤ –1 or 10 – x ≤ 5 |
36 | –4 ≤ 5 + 3x ≤ 11 | 2x + 2 < 2 or 3 – x ≤ 0 |
37 | –9 < –1 + 4x < 15 | 8 – x > 15 or 6x – 13 > 11 |
38 | –10 < –3 + x ≤ 21 | 2 – x ≥ 1 or 6x – 1 > 17 |
39 | –11 ≤ –5 + 6x < 13 | 3x + 2 ≤ –1 or 11 – x ≤ 4 |
40 | 0 ≤ 4 + 2x ≤ 22 | 3x + 6 < –3 or 5 – x ≤ 1 |
41 | –3 ≤ x – 2 < 9 | 3x + 11 < 4 or 4x + 9 ≥ 1 |
42 | –1 ≤ x + 3 ≤ 5 | 1 – x > –2 or 2x – 1 > 9 |
43 | –10 < 3x + 1 < 5 | 3x – 2 ≤ 2 or 3 – x ≤ 1 |
44 | –18 < 4x – 2 ≤ 30 | 2x + 1 < –5 or 2 + 3x > 11 |
45 | 4 ≤ x + 3 < 20 | 2x + 7 ≤ 5 or 7 – 2x < 3 |
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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