The range of value of α such that (0,α) lies on or inside  the triangle formed by the lines y+3x+2=0,3y−2x−5=0,4y+x−14=0 is

Point (0, α) lies on they-axis. In such questions, it is easier to see the location of point if lines are drawn on the axis. From the diagram, it is clear that 53≤α≤72