# Mat 222 week 2 discussion 1

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Ashford 3: – Week 2 – Discussion 1

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:

• 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.

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

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