For the above set:

a)Find aninterpretation A of T ,with Domain the set |A|={a,b,c} ,which is model of T.In the interpretation at the constant a is assigneda, at the constant b is assignedb,at the constant c is assignedc.

b)Find aninterpretation A of T ,with Domain the set |A|={a,b,c} ,which is NOT model of T.In the interpretation at the constant a is assigneda, at the constant b is assignedb,Moreover it must be $\displaystyle \prec$a,b$\displaystyle \succ$$\displaystyle P^A$ and$\displaystyle \prec$b,c$\displaystyle \succ$$\displaystyle P^A$.

at the constant c is assignedc.

c)Find aninterpretation$\displaystyle A_1$of T ,with Domain the set |$\displaystyle A_1$|={an0} ,which is model of T.Find alsointerpretation$\displaystyle A_2$of T ,with Domain the set |$\displaystyle A_2$|={$\displaystyle A_2$0} ,which is NOT model of T. Forit must be$\displaystyle \prec$0$\displaystyle \succ$$\displaystyle P^_A_2$.

Thank you..