We have the following statements:

$I(x)$ : the person $x$ has passed an entrance exam.

$M(x)$ : the person x studies at a music school.

$L(x,y)$ : the person $x$ has completed the course $y.$

Write the statements using these predicates, universal quantification, existential

quantification, logical operators as well as $I(x),M(x)$ and $L(x,y).$

a$)$ Anna studies at a music school but Finn does not study at a music school.

b$)$ Everyone who studies at a music school has passed an entrance exam.

c$)$ Express this in a sentence: AAxEEy$(L(x,y))$

d$)$ Express this in a sentence: EEyAAx$(notL(x,y))$