Home › JEE Advanced › Mathematics › Linear Programming › The graph of a linear inequality such as $2x + 3…
The graph of a linear inequality such as $2x + 3y \le 12$ represents:
Aa circle
Ba single line
Ca half-plane
Da bounded triangle
Answer & Solution
Correct answer: C. a half-plane
A linear inequality in two variables represents a half-plane on one side of the boundary line.
Related questions
Two depots hold 180 and 250 tons; two customers order 200 and 150 tons. After the cheapestA gardener needs AT LEAST 10 units of chemical A. A jar gives 5 units and a carton 1 unit.A gardener needs at least 10, 12 and 12 units of chemicals A, B and C. Jars cost 3,000 andMine A gives 1, 3 and 5 tons of high, medium and low grade ore daily; mine B gives 2 tons Profit is Shs. 3000 on a ring and Shs. 1900 on a chain. With $x$ rings and $y$ chains, theA firm makes $x$ rings and $y$ chains, at most 24 items a day. A ring takes 1 hour, a chaiSome problems minimise a linear function subject to given:A linear programming problem must have constraints that are: