SOLUTION: When a number is subtracted from -7, the absolute value of the difference is more than 3. Use interval notation to express the set of all numbers that satisfy this condition.

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Question 135412: When a number is subtracted from -7, the absolute value of the difference is more than 3. Use interval notation to express the set of all numbers that satisfy this condition.
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
When a number is subtracted from -7, the absolute value of the difference is more than 3. Use interval notation to express the set of all numbers that satisfy this condition.
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EQUATION:
|-7-x| > 3
This means the distance from -7 to x is greater than 3.
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If you want to see it draw a number line and mark a point "-7"
Count 3 to the left to -10
Count 3 to the right to -4
Then solution is x<-10 OR x>-4
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Analytically you could proceed as follows:
-7-x >3
-x > 10
x < -10
OR
-(-7-x)>3
7+x > 3
x <-4
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Notice that the answer is the same.
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cheers,
Stan H.
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