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Online discrete mathematics
Question (1)

(? p→q)→(? q∨p)

(? p→q)∨(p∨? Q) Become a conjunction disjunction.

(p∨q)∨(p∨? Q) Become a conjunction disjunction.

(? p∧? q)∨(p∨? Q) de Morgan's law

(? p∧? q)∨p∨? Q-associative law

q∨p∨? Q- separation absorption rate

p∨? Q idempotent law

Get Lord conjunctive normal form,

Check the missing largest item again.

The second part of money supply

∏(2)

∏(2)

∑(2)

The second part of money supply

(p∨q)∨? (? p∨q)∨? (? p∨? Q) de Morgan's law

(? p∧? q)∨(p∧? Q)∨(p∧q) De Morgan's Law

Get the principal disjunctive normal form

The real task is

(p, q) = (0,0), (1, 0) or (1, 1).

Question (3)

(p∨(q∧r))→(p∨q∨r)

(p∨(q∧r))∨p∨q∨r

(? p∧? (q∧r))∨p∨q∨r De Morgan's Law

(q∧r)∨p∨q∨r absorption rate

q∨? R∨p∨q∨r De Morgan's Law

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