Solve for x,correct to TWO decimal places 4+5x>6x to the power 2

4 + 5X > 6X^2.

-6X^2 + 5X + 4 > 0,

Solve: -6X^2 + 5X + 4 = 0,
Use Quadratic Formula and get:
X = -0.50; and X = 1.333.

The graph opens downward and crosses the x-axis at -0.50 and 1.33.
The graph is > 0 when X is > -0.50
and < 1.33. Therefore, the solution set is: X > -0.50, and X < 1.33.

OR -0.50 < X < 1.33. This means that
all values of X > -0.50 and < 1.33
will satisfy the inequality.

I hope this is what you are looking
for.