2.2 Flashcards

1
Q

an if-then statement is false if, and only if, the hypothesis is _____ and the conclusion is ______

A

true, false

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2
Q

the negation of “if p then q” is ______

A

p /\ ~q

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3
Q

the converse of “if p then q” is ______

A

if q then p

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4
Q

the contrapositive of “if p then q” is ______

A

if ~q then ~p

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5
Q

the inverse of “if p then q” is ______

A

if ~p then ~q

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6
Q

a conditional statement and its contrapositive are _______

A

logically equivalent

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7
Q

a conditional statement and its converse are not ______

A

logically equivalent

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8
Q

R is a sufficient condition for S means if _______ then ______

A

R, S

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9
Q

R is a necessary condition for S means if ______ then ______

A

S, R

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10
Q

R only if S means if ______ then ______

A

R, S

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11
Q

order of operations

A
  1. ~
  2. /\, \/
  3. ->, <->
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12
Q
A
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