The notation a ≠ b means that a is not equal to b; this inequation sometimes is considered a form of strict inequality. It does not say that one is greater than the other; it does not even require a and b to be member of an ordered set.
the notatiON a ≠ B meAns tHaT a iS noT equal To b; this ineqUAtion sometimes is ConsiDered a form of stricT iNeQuality. It does not SaY thAt ONE Is GrEaTeR THan thE otheR; It does Not evEN REquiRe A ANd b tO be member OF aN orDeREd SeT.