All points lying inside the triangle formed by the points (5, 0), (-1, 2) and (1, 3) satisfy :

(A) 2x+ 2y - 18 > 0

(B) 3x+ 2y > 0

(C) 2x+ y +13 < 0

(D) 2x - 3y -12 < 0

(E) 2x- 3y + 12 > 0

Choose the correct answer from the options given below :

(B), (D) and (E) Only

The correct answer is option (4) → (B), (D) and (E) Only

Substituting all points in inequalities to $A(5, 0), B(-1, 2), C(1, 3)$

(A) → (5, 0), (-1, 2), (1, 3) don't satisfy this inequality

(B) all points satisfy this inequality

(C) (5, 0), (-1, 2), (1, 3) don't satisfy this inequality

(D) all points satisfy this inequality

(E) all points satisfy this inequality