Class 12 Linear Programming · Long Answer3 Marksgraphical_optimization
Class 12 Maths · Linear Programming · Long Answer #54
Solve −3x+2y≥6 graphically over ℝ².
✅ Step-by-Step Solution
Final Answer: The closed half-plane y≥3x/2+3.
- The boundary is −3x+2y=6, through (−2,0),(0,3).
- Plot this line as solid because equality is allowed.
- The origin gives 0≥6, false; take the other side.
- Thus y≥3x/2+3, including its boundary.
📋 CBSE Stepwise Marking Scheme
- [0.5 marks] The boundary is −3x+2y=6, through (−2,0),(0,3).
- [1 mark] Plot this line as solid because equality is allowed.
- [1 mark] The origin gives 0≥6, false; take the other side.
- [0.5 marks] Thus y≥3x/2+3, including its boundary.
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