infimum and supremum of sum and productSuppose that the real functions f and g are defined on an interval Δ. Then on this interval• inf(f+g)≧inff+infg• sup(f+g)≦supf+supgIf f and g are also nonnegative on Δ, we can write• inf(fg)≧inff⋅infg• sup(fg)≦supf⋅supg