Forces acting on a block that is pushed against a wall

[MatinSAR]

Homework Statement

What should be the magnitude of force F so that the object is definitely moving?(Frictional force is equal to 0.5 for each newton of vertical force on the surface.)
A)25 B)30 C)40 D)50

Relevant Equations

$F_{net} =ma$
$f_{s} =µ_sN$
$f_{k} =µ_kN$

Picture of problem:

For the object to be moving, it must overcome friction.

$f=0.5*0.6F = 0.3F$
$mg=22N$

Upward motion:
$0.8F>mg+f \rightarrow 0.5F>22 \rightarrow F>44N$

Downward motion:
$0.8F+f<mg \rightarrow 1.1F<22 \rightarrow F<20N$

I think correct option is D. Can you please guide me if I'm wrong?

 

[TSny]

Your work looks good to me.

 

[MatinSAR]

Your work looks good to me.

Thank you for your help.