Discrete Math 100% correct solution

Statement - A statement (proposition) is a sentence that is either true or false, but not both. Negation - A negation of a statement p is the statement "not p" or "it is not the case that p," and is denoted by ⌐p. A statement and its negation always have the opposite truth value. Conjunction - The conjunction of two statements p and q is the statement "p and q," and is denoted by p ᴧ q. The conjunction p ᴧ q is true if both p and q are true and is false otherwise. Disjunction - The disjunction of two statements p and q is the statement "p or q," and is denoted by p v q. The disjunction p v q is true if either of p and q are true or if both are true. Conditional - A statement of the form "if p, then q" where p and q are statements, is called a conditional and is denoted by p -> q. Forms of the conditional statement - The conditional, p→ q can be stated in any of the following ways: If p, then q q if p p implies q p only if q p is sufficient for q q is necessary for p Tautology - A tautology is a statment that is always true no matter what truth values are assigned to the statements appearing in it.