Question

Hi!!! x) How do you make a inverse, converse, and contrapositive statement from this sentence. And also have a counter example if it is correct?

Conditional statement:
If it is a furlough friday, then we don't go to school.

Answer 1

I mean counter example if it is not correct....my badness....

Answer 2

p -> q

inverse: -p -> -q
converse: q -> p
contraP: -p -> -p

Answer 3

i think inverse and converse should be the switched.

the inverse of a function gets you back to the original right?

Answer 4

So for inverse: If it is a furlough friday, then we do not go to school?

Answer 5

Break sentence into parts
p = It is a furlough friday
q = we don't go to school

then do as amistre did to rewrite sentences

Answer 6

inverse:

If it is [not] a furlough friday, then we [do] go to school.

Answer 7

i guess logic just has to be backwards :)

Answer 8

Just to correct the above post:
Statement: \(p \to q\)
Contrapositive: \(\neg q \to \neg p\)

Answer 9

..... yeah, that one. I am sooo gonna teach these fingers a lesson when I get home ...

Answer 10

Converse: If we do not go to school, then it is not a furlough friday?

Answer 11

If [we don't go to school] then [it is a furlough friday].

Answer 12

Converse?

Answer 13

yep, remember to keep your propositions intact