Transformations between forms Inequalities to equalities: ax≥b:台a{x=b:+Si,S:≥0 The newly introduced variable s;is called slack variable a“Unrestricted”to“nonnegative constraint'": ▣x;unrestricted台xi=s-t,s≥0，t≥0 10Transformations between forms ◼ Inequalities to equalities: ❑ 𝒂𝒊 𝑇𝒙 ≥ 𝑏𝑖 ⇔ 𝒂𝒊 𝑇𝒙 = 𝑏𝑖 + 𝑠𝑖 , 𝑠𝑖 ≥ 0 ◼ The newly introduced variable 𝑠𝑖 is called slack variable ◼ “Unrestricted” to “nonnegative constraint”: ❑ 𝑥𝑖 unrestricted ⇔ 𝑥𝑖 = 𝑠– 𝑡, 𝑠 ≥ 0,𝑡 ≥ 0 10