# SOLUTION: Express set of numbers using interval notation and set-builder notation: numbers more than 2 units from 8 we were coming up with: x|6<x>10; but my daughter says her teacher sa

Algebra ->  Algebra  -> Real-numbers -> SOLUTION: Express set of numbers using interval notation and set-builder notation: numbers more than 2 units from 8 we were coming up with: x|6<x>10; but my daughter says her teacher sa      Log On

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 Question 154406: Express set of numbers using interval notation and set-builder notation: numbers more than 2 units from 8 we were coming up with: x|610; but my daughter says her teacher said the >< symbols should be going in the same direction??Answer by Edwin McCravy(8909)   (Show Source): You can put this solution on YOUR website! Express set of numbers using interval notation and set-builder notation: numbers more than 2 units from 8 we were coming up with: x|610; but my daughter says her teacher said the >< symbols should be going in the same direction?? ``` In order to be more than 2 units away from 8, a number must be either left of 6 OR right of 10. So the graph is <============================o-----------o==================> -3 -2 -1 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 In interval notation that is (-,6) U (10,) and the set builder notation is: {x | x < 6 OR x > 10} But since your teacher says the symbols must go in the same direction, then we can do either of two things. We can change the x < 6 to 6 > x, which is the same thing, and make it {x | 6 > x OR x > 10} or else we can change the x > 10 to 10 < x, which is the same thing, and make it {x | x < 6 OR 10 < x} But most teachers would not require both symbols to go the same way. Edwin```