Linear inequalities in two variables (review)
General · Mathematics
Study notes
Q: Graph x + 2y ≤ 6, x ≥ 0, y ≥ 0. Is (2,1) feasible? Boundary: x+2y = 6 (intercepts (6,0), (0,3)). Test (0,0): 0 ≤ 6 true - shade toward origin! (2,1): 2+2 = 4 ≤ 6 ✓; x,y ≥ 0 ✓: FEASIBLE! (4,2): 4+4 = 8 > 6: NOT feasible!