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

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

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