Transformations between forms Min vs.max: ▣mincx台max-cfx Inequality directions: ▣aix≥b:台-ax≤-b1 Equalities to inequalities:(a;:row i in matrix A) oaix=b:台afx≥b,and ax≤b.Transformations between forms ◼ Min vs. max: ❑ min 𝒄 𝑇𝒙 ⇔ max−𝒄 𝑇𝒙 ◼ Inequality directions: ❑ 𝒂𝒊 𝑇𝒙 ≥ 𝑏𝑖 ⇔ −𝒂𝒊 𝑇𝒙 ≤ −𝑏𝑖 ◼ Equalities to inequalities: (𝒂𝒊 : row 𝑖 in matrix 𝐴) ❑ 𝒂𝒊 𝑇𝒙 = 𝑏𝑖 ⇔ 𝒂𝒊 𝑇𝒙 ≥ 𝑏𝑖 , and 𝒂𝒊 𝑇𝒙 ≤ 𝑏𝑖 . 9