SOLUTION: When 2 times a number is subtracted from 5, the absolute value of the difference is at least 6. Use interval notation to express the set of all numbers that satisfy this condition

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Question 1180178: When 2 times a number is subtracted from 5, the absolute value of the difference is at least 6. Use interval notation to express the set of all numbers that satisfy this condition
Found 3 solutions by mananth, ikleyn, greenestamps:
Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
When 2 times a number is subtracted from 5, the absolute value of the difference is at least 6. Use interval notation to express the set of all numbers that satisfy this condition

| 5-2x | <=6

5-2x <= -6 or 5-2x >= 6
5-2x-5 <= -6 -5 or 5-2x -5 >= 6-5
-2x <= -11 or -2x >= 1
-2x/-2 >= -11/-2 or -2x/-2 <= 1/-2
x >= 11/2 or x <= -1/2
(-infinity, -1/2]) u [11/2, infinity)

Answer by ikleyn(52776) About Me  (Show Source):
Answer by greenestamps(13198) About Me  (Show Source):
You can put this solution on YOUR website!


(Note for the other tutors who have responded....)

The statement of the problem is that the absolute value of the difference is AT LEAST 6 -- not at most 6.