



 
I use the vertical bars like parentheses for absolute value. For example, x means "absolute value of x" and 5x + x  2 means "5x plus the absolute value of (x  2)". I don't want to do all your work for you, so I'll change the numbers and show you how it is done:
The numerator 8 doesn't affect the sign (multiplying a positive factor leaves a negative as negative or a positive as positive). So I can move the absolute value symbols to just the denominator.
I can multiply both sides by 1  x which is never negative (it is zero or positive), therefore the direction of the inequality doesn't change:
Divide by 4:
Now I have to split it up into positive and negative.
and solve them separately: So either x < 1 or x > 3. Hope this helps,  


Math Central is supported by the University of Regina and The Pacific Institute for the Mathematical Sciences. 