Question

solve the inequality 4+x/2>2x

Answer 1

4+x/2>2x
8+x>4x (multiply both sides by 2)
8>3x (Transpose x)
8/3>x (Divide 8 by 3)

Answer 2

4+x > 4x..transpose 4> 3x... x< 4/3

Answer 3

I assumed that 4 and x/2 are are separated since you didn't enclose them in parentheses :D.

Answer 4

So 4+x/2 is one term?
Then....
(4+x)/2 > 2x
(4+x)/2)(2) > 2(2x) (I eliminated the denominator (2) by multiplying it to both sides of the equation)
(4+x) >(4x)
4>4x -x (Transposed x to the right side to combine like terms)
4>3x
4/3>x (Simplify)