Question $3$

The following expressions represents a statement about all the integers $(z).$ Using $p(x)$ for $\text{'}x$ is prime', $q(x,y)$ for $\text{'}x=y^2$; and $t(x,y)$ for $\text{'}x=y\text{'},$ determine which expressions represent true statements and which represent false statements $($justify your answer to get the full points, as just writing true or false is not enough for any points$).$

a$)$ vvxinZ$(EEyinZ(q(x,y)vvp(x)))$

b$)$ EEzinZ$(EExinZ(EEyinZ(p(x{)}^{{?}^{?}}p(y{)}^{{?}^{?}}$nott$(x,y))))$