Answer: A triangle with vertices (0,0), (5,0), (0,5).
- A An unbounded strip extending infinitely along the line x + y = 5
- B A triangle with vertices (0,0), (5,0), (0,5)
- C A circle of radius 5 centred at the origin
- D A single line segment joining (5,0) and (0,5)
Correct answer: B. A triangle with vertices (0,0), (5,0), (0,5)
Explanation: The constraints x>=0, y>=0, x+y<=5 bound a triangular region with corners at the origin and the two intercepts (5,0) and (0,5).
One-variable inequalities use open (excluded) or closed (included) circles on a number line; two-variable inequalities use a dashed (strict) or solid (non-strict) boundary line, with the solution being the entire shaded half-plane on one side of it.
Concept context
Solving linear inequalities in one and two variables algebraically and graphically, and representing solutions on a number line or as a region in a plane.