SOLUTION: Write an inequality and solve each problem: Four more than a number is no more than thirteen. The difference of a number and -6 is less than 9. Eleven less than a number i

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Question 1130163: Write an inequality and solve each problem:
Four more than a number is no more than thirteen.
The difference of a number and -6 is less than 9.
Eleven less than a number is more than seventeen.

Found 2 solutions by Edwin McCravy, Alan3354:
Answer by Edwin McCravy(20056)   (Show Source): You can put this solution on YOUR website!
Six more than a number is no more than eighteen.

Change numbers and solve!

The difference of a number and -9 is less than 3.

Change numbers and solve!

Fifteen less than a number is more than twenty-two.

Change numbers and solve!

Edwin

Answer by Alan3354(69443)   (Show Source): You can put this solution on YOUR website!
The difference of a number and -6 is less than 9.
---
The difference of a & b can be a-b or b-a
-------
n = "a number"
---
The difference of n and -6 can be n - (-6) = n+6, or -6-n
Using absolute values covers both.
|n+6| < 9
---
n+6 < 9
n < 3
============
-n-6 < 9
Add n-6
0 < n+15
Subtract 15
-15 < n
----
-15 < n < 3

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