Inequality symbols need to be reversed when multiplying or dividing by a negative number, because that reverses the ordering of values. 2 > 1 -2 < -1 . . . . . multiplied or divided by -1
___ A more "interesting" case is when a function is applied that has a negative slope. 0 < a < b < π cos(0) > cos(a) > cos(b) > cos(π)