In the adjoining figure, the inequality representing AB is :

The correct answer is Option (3) → $8x+14y ≤65$

$OP ⊥ AB$

Slope (OP) = $\frac{\frac{7}{2}}{2}=\frac{7}{4}$

Slope (AB) = $-\frac{4}{7}$

so equation of line → $y-\frac{7}{2}=-\frac{4}{7}(x-2)$

$14y-49=-8x+16$

so $14y+8x=65$

inequality is $14y+8x≤65$