## anonymous 5 years ago |x - 1| >= 2

1. anonymous

x-1>= 2 or -(x-1)>=2

2. anonymous

x>=3 or -x+1>=2

3. anonymous

x>=3 or x<= -1

4. anonymous

thanks ankur504 i got the same ans as you, but i'm confused because in the solutions it says (-infinity , -1] U [3 , +infinity) ???????

5. anonymous

Same thing.

6. anonymous

lokisan where does - infinity and all that come from?

7. anonymous

ankur said x<=-1, so that means ALL x less than or equal to -1...

8. anonymous

x>=3 means real numbers greater than 3 to infinity

9. anonymous

Check out a number line...

10. anonymous

The points -1 and 3 will partition it into three intervals: $(-\infty,-1]$$(-1,3)$$[3,\infty)$The set of all x that satisfy your inequality is then$(-\infty, 1] \cup [3,\infty)$

11. anonymous

oh i understand now, thanks a bunch!

12. anonymous

np :)