Inequality constraints gj(x) < 0 can be transformed into to equivalent equality constraints by the addition of

Question:

Inequality constraints gj(x) < 0 can be transformed into to equivalent equality constraints by the addition of slack variables sj > 0,
gj(x) sj = 0
Use this transformation to provide an alternative derivation of theorem 5.3 from theorem 5.2. Disregard the regularity condition.