Graphical solution of inequalities
Equations and inequalities · Mathematics
Study notes
Q: Solve graphically: y >= 2x - 1 and y <= -x + 5. Step 1: Line 1: y = 2x - 1 (solid). Test (0,0): 0 >= -1 true. Shade above line 1 (containing origin). Step 2: Line 2: y = -x + 5 (solid). Test (0,0): 0 <= 5 true. Shade below line 2. Step 3: Feasible region: wedge between the lines where both hold. Step 4: Corner (intersection): 2x - 1 = -x + 5, so 3x = 6, x = 2, y = 3. Corner at (2, 3).