math
mkjaber- 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
- I already have the answer to the equation which is
- your "or" compound inequality is 12 – x > 15 or 4x – 13 > 7
First 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
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