# math

• 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 “or” compound inequality is 12 – x > 15 or 4x – 13 > 7First inequality:

12 – x > 15

12 > 15 + x

12 – 15 > x

-3 > x

x < -3

Second inequality:

4x – 13 > 7

4x > 7  + 13

4x > 20

x > 20/4

x > 5

Hence, our solution is as follows: x<-3 or x>5

Your “and” compound inequality is -16 ≤ 2 + 9x ≤ 11.

First inequality:

-16 ≤ 2 + 9x

-16 – 2 ≤ 9x

-18 ≤ 9x

-2 ≤ x

x ≥ -2

Second inequality

2 + 9x ≤ 11

9x ≤ 11 – 2

9x ≤ 9

x ≤ 1

Hence, our solution is: x ≥ -2 and x ≤ 1

Another way of saying this is: -2 ≤ x ≤ 1