Question

|x - 1| >= 2

Answer 1

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

Answer 2

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

Answer 3

x>=3 or x<= -1

Answer 4

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

Answer 5

Same thing.

Answer 6

lokisan where does - infinity and all that come from?

Answer 7

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

Answer 8

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

Answer 9

Check out a number line...

Answer 10

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\[(-\infty, 1] \cup [3,\infty)\]

Answer 11

oh i understand now, thanks a bunch!

Answer 12

np :)