In the following question, the domain of discourse is a set of students who show up for a test. define the following predicates: p(x): x showed up with a pencilc(x): x showed up with a calculatortranslate each statement into a logical expression. then negate the expression by adding a negation operation to the beginning of the expression. apply de morgan's law until each negation operation applies directly to a predicate and then translate the logical expression back into english. sample question: every student showed up with a calculator.∀x c(x)negation: ¬∀x c(x)applying de morgan's law: ∃x ¬c(x)english: some student showed up without a calculator.(a) one of the students showed up with a pencil.(b) every student showed up with a pencil or a calculator (or ) every student who showed up with a calculator also had a pencil.(d) there is a student who showed up with both a pencil and a calculator.

(because i need 20 chars)

answerthe above statement is (false);

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