a is less than or equal to g(x,y,z) is less than or equal to b

(a and b are two distinct numbers)

h(x,y,z) is less than or equal to c

(c is another number distinct from a and b)

Can Lagrange Multipliers solve this problem? In other words, is there some trick to put the constraint equation in the standard form for which Lagrange Multipliers works? Any help is appreciated. Thanks