3. a) Draw a truth table to determine whether the proposition (p + q) v (0 +-9) is a tautology? Draw a table with the following columns: -9 p - 9 p +9 (p = q) v (p +-9) b) Assume that the domain consists of all people. Translate the following statements into English using S(x) : x is a student F(x) : x is funny L(x,y) : x likes y (a) vx(S(x) F(x)) (b) vx(S(X)^ F(x)) (c) vx(S(x)^F(x) + 3yL(x,y)) (d) vx(S(x)^ F(x) 7 ayl(y,x))