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.

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) (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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