4. Here are three interpretations: Interpretation 1 Interpretation 2 Interpretation 3 UD: {Simi, Nila, Gabi} UD: integers UD: {1, 2, 3} Fx: {Simi} Fx: x is greater than 6 Fx: {} Gx: {Simi, Nila} GX: x is even Gx: {1} Rxy: {, Rxy: x is greater than y Rxy: {, , } } a: Gabi a: the number 2 a: 1 For each PL sentence (a) through (c), say whether the sentence is true on Interpretation 1, whether it is true on Interpretation 2, and whether it is true on Interpretation 3. ( points total-no explanations needed!) a. Ga - (3x) Rxx b. (Vx) (FX > ~GX) c. (Vx) ( y)Rxy Say whether each of the statements below is true or false, then defend your answer by referring to the interpretations above.* (3 each) d. 'Ga = (3x) Rxx' is quantificationally true. e. '(Vx) (FX ~Gx)' is quantificationally false. f. '(Vx) (3y)Rxy' is quantificationally indeterminate. g. 'Ga = (3x) Rxx' is quantificationally consistent with '(Vx) (3y) Rxy'. h. 'Ga = (3x) Rxx' is quantificationally equivalent to '(Vx) (FX - ~GX)'. i. '(Vx) (3y)Rxy' quantificationally entails '(Vx) (FX > ~Gx)'