How do you solve # |x – 4| > |3x – 1|#?
When there is absolute value, we have to take two options the first where the first is positive the next is negative.
again doing the same with the left hand side:
Subtracting x from both sides of the equation to get the unknown's terms to one side of the equation:
Adding 1 to both sides of the equation to isolate the unknown's term on the left hand side:
Dividing both sides of the equation by 2 to isolate x:
Doing same as before to isolate x:
simplifying: (adding 1 and subtracting x from both sides of the equation and then dividing by 4):
Simplifying by adding 3x to, subtracting 4 from both sides and then dividing by 2:
Simplifying 1a , 2a ,and 2b :
since x is smaller than