Question 45227
{{{abs(x) >=3}}} 


Do you understand that absolute value of a positive number is positive, the absolute value of 0 is zero, and the absolute value of a negative number is actually the positive number associated with it.  Like absolute value of 3 is 3, absolute value of -3 is 3, absolute value of -5 is 5, etc.  Be sure you understand this first.


Now, draw a numberline, and by trial and error try to find the numbers on the numberline where the absolute value of the number will result in a number that is greater than or equal to 3.


Trial and error results in all numbers that are from 3 on the numberline, and to the right on the numberline, like 4, 5, 6, etc.


Also, trial and error results in the number -3, and all numbers to the left of -3, like -4, -5, -6, etc.  


This means that {{{x>=-3 or x<= -3}}}.  In interval notation, this would be

(-inf, -3] U [3, inf).


R^2 at SCC
In interval notation