<= .

Move the terms from the right side to the left, changing the signs. You will get an equivalent inequality

 <= 0.

Factor the left side:

(2x-1)*(x-2) <= 0.


Divide both sides by 2. You will get an equivalent inequality

(x-1/2)*(x-2) <= 0.     (1)


1)  If  x <   then both factors (each factor) in the left side of (1) are/is negative,
    So the product is positive.


2)  If   < x < 2  then the factor (x-1/2) is positive, while the factor (x-2) in the left side of (1) is negative,
    so the product is negative.


3)  If 2 < x  then both factors (each factor) in the left side of (1) are/is positive,
    so the product is positive.


Answer.  The given inequality has  the segment  [1/2,2] as the solution set.