nanda

Let $P(x)=(x$ is taking a physics course$),$

is taking a religion course$),$ and

is taking an English course$),$

where $x$ is a member of the Math $251$ class. Express each of the

$1\mathrm{.}3.$ Predicate logic

following in terms of those three propositional functions, logical

operators, and quantifiers.

$($a$)$ A student in the class is taking physics, religion, and English.

$($b$)$ Every student in the class is taking religion.

$($c$)$ No one in the class is taking both physics and English.

$($d$)$ Someone in the class is taking both physics and religion.

$($e$)$ Every student in the class is taking at least one of physics,

religion, and English.

$($f$)$ For each of the three subjects $($physics$,$ religion, English$),$ there

is at least one student in the course who is taking that subject.