Correct option (2) 5/3 ≤ β ≤ 7/2
Explanation:
(0, β) is a point on y-axis. Solving the given equations, we get the vertices as A(− 2, 4), B (2, 3) and C( − 1, 1). The side AB i.e., 4y + x − 14 = 0
meets the y-axis at point P (0.7/2) and the side BC i.e., 3y − 2x − 5 = 0
meets the y-axis at Q (0,5/3)
For the point (0, β) to lie on or inside the triangle, we must have 5/3 ≤ β ≤7/2.