Sove the inequality x+2/4-x+1/3>1/2

Answer 1

x - x = 0

Answer 2

Now you see why parentheses are important:

(x+2)/(4-x) + 1/3 > 1/2
(x+2)/(4-x) > 1/6

If x<4,
6(x+2) > 4-x
6x+12 > 4-x
7x > -8
x > -8/7
So, one solution is the interval (-8/7,4)

If x>4,
6(x+2) < 4-x
x < -8/7
Not possible, sine we started out with x>4