Question

X divided by x minus 2 greater than or equal to zero

Answer 1

X/x-2 >= 0 equals x/x >= 0+2 simplified x >=2

Answer 2

X/(x-2)≥0
times boh sides by (x-2)
that won't work, we will eliminate some solutions
test some numbes
we notice that at x=2, we get something nasty
test numbers around it

x=1 is negative
x=0 is equal to 0
x=3 is positive
x=-1 is positive

seems that x can be anything unless it is greater than 0 and less than or equal to 2

x≤0 or x>2 is solution