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


| 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}}})