AP Precalculus (please help me brooskies)

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Last updated 2:19 AM on 4/17/26
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14 Terms

1
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Modus Ponens (MP)

A —>B

__A__

B

2
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Modus Tollens (MT)

A —> B

__~B__

~A

3
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Law of Syllogism (LS)

A —> B

B —> C

_______

A —> C

4
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Disjunctive Syllogism (DS)

A or B

__~A__

B

5
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Double Negation (DN)

~(~A)

_____

A

6
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Commutative (COMM)

A or B A ^ B

__________

B or A B ^ A

7
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Associative (ASSOC)

A or (B or C) A ^ (B ^ C)

____________________

(A or B) or C (A ^ B) ^ C

8
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Distributive (DIST)

A or ( B ^ C) A ^ (B or C)

_____________________

(A or B) ^ (A or C). (A ^ B) or (A ^ C)

9
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Simplification (SIMP)

A ^ B

____

A

10
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Addition (ADD)

__A__

A or B

11
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Conjunction (CONJ)

A

__B__

A ^ B

12
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DeMorgan’s (DM)

~ (A or B) A or B

_______________

~ A ^ ~B ~ ( ~ A ^ ~B)

13
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Material Implication (MI)

A —> B A or B

_____________

~A or B ~A —> B

14
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Contrapositive (CP)

A —> B

________

~B —> ~A