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EastWind [94]
3 years ago
13

Write the negation, contrapositive, converse, and inverse for the following statement. (Assume that all variables represent fixe

d quantities or entities, as appropriate.)
If today is New Year's Eve, then tomorrow is January.
Social Studies
1 answer:
Eva8 [605]3 years ago
3 0

Answer:

Negation = Pn ¬q

Contrapositive = ¬q = ¬p

Converse = q=p

Inverse = ¬p = ¬q

Explanation:

If today is new year's, then tomorrow is January.

Let P = If today is new year's eve

q = tomorrow is January

Negation of q = ¬q

The statement is represented as P=q

Negation ; today is new year's eve (p), then tomorrow is not January (¬q)

Negation = Pn ¬q

Contrapositive ; If tomorrow is not January (¬q), then today is not new year's eve(¬p)

¬q = ¬p

Converse ; If tomorrow is January, then today is new year's eve i.e if q then p

= q=p

Inverse ; if today is not new year's eve, then tomorrow is not January

if not p, then not q ; ¬p = ¬q

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