Solve this inequality .
squarring both sides , i got
, rearranging them
, till here am i correct , and i don see a way to solve it from here .
From ......you'll get:
A product of 2 factors is positive if both factors are positive or both factors are negative. Since is true for all x, the second case is impossible. Therefore (keep in mind that is true for all x):
Now use the definition of the absolute value:
By the way:
You'll never find a number which is greater than 3 and simultaneously is smaller than -3.From there , i got x>3 and x<-3