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

Algebra ->  Inequalities -> 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      Log On


   

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) About Me  (Show Source):
You can put this solution on YOUR website!
Six more than a number is no more than eighteen.
matrix%281%2C3%2CN%2B6%2C+%22%22%3C=%22%22%2C+18%29 
Change numbers and solve!

The difference of a number and -9 is less than 3.
matrix%281%2C3%2CN-%28-9%29%2C%22%22%3C%22%22%2C3%29
Change numbers and solve!

Fifteen less than a number is more than twenty-two.
matrix%281%2C3%2CN-15%2C%22%22%3E%22%22%2C22%29
Change numbers and solve!

Edwin

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