The region represented by the system of inequalities $x, y ≥0, y ≤6, x + y ≤3$
Answer & explanation
Correct answer: option 1
The correct answer is Option (1) → is a bounded region in the first quadrant
Constraints: x≥0, y≥0 ⇒ first quadrant.
x+y≤3 ⇒ region lies below the line x+y=3 with intercepts (3,0) and (0,3).
y≤6 is redundant since y≤3 already from x+y≤3 and x≥0.
Intersection is a triangle with vertices (0,0), (3,0), (0,3) ⇒ bounded in first quadrant.
Answer: is a bounded region in the first quadrant.