# Mat 222 week 2 dq 1

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Ashford 3: – Week 2 – Discussion 1

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.

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 (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.)

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

• Solve the compound inequalities as demonstrated in Elementary      and Intermediate Algebra and the Instructor Guidance in the left      navigation toolbar, in your online course. 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. This is      demonstrated in the Instructor Guidance in the left navigation toolbar, in      your online course.
• 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.

Carefully review the Grading Rubric for the criteria that will be used to evaluate your discussion.