WORD PROBLEM MMW

NEGATION

p and not q.

CONVERSE

if q then p.

CONTRAPOSITIVE

if not q then not p.

INVERSE

if not p then not q.

COND. STATEMENT AND CONTRAPOSITIVE

logically equivalent

COND. STATEMENT AND CONVERSE

NOT logically equivalent.

“R is a sufficient condition for S” means:

if R then S.

“R is a necessary condition for S” means:

if not R then not S, or equivalently, if S then R.

“R only if S” means:

if R then S.

An if-then statement is false if, and only if, the hypothes is ___ and the conclusion is ___ .

TRUE; FALSE