Question

Write a statement logically equivalent to "If Jeff passes Math, then he will be very happy." I wrote: Jeff will not be very happy, if doesn't pass Math

Answer 1

jeff will be happy if he passes math

Answer 2

If Jeff is not happy, he has not passed maths.

Answer 3

How?? I dont think thats right

Answer 4

Its the contropositive right? Btw that was to ninja

Answer 5

It is. If he is not happy it is not possible that he passed math as then he would be happy, contradiction...

Answer 6

No...THIS IS LOGIC. There are rules :|

Answer 7

Your answer is unfortunately not quite right, he could be happy but not have passed math

Answer 8

He will not be very happy, if Jeff does not pass math.

Answer 9

So I am correct?

Answer 10

yep

Answer 11

No. It is still possible for Jeff to be very happy if he does not pass. It is an implied not an implied and implied by

Answer 12

Jeff will be happy, if he passes maths?

Answer 13

THIS IS LOGIC. NO IMPLICATION I NEEDED it is the contropositive doesnt have to be true...just equivenlent

Answer 14

If you wanna keep the truth value the same, you look for the contrapositive. You get the contrapositive by flipping it, and negating both things. I am right.. I know because I studied this in geometry and I got a 100 on the geometry state exam... take my word for it.

Answer 15

http://en.wikipedia.org/wiki/If_and_only_if#Distinction_from_.22if.22_and_.22only_if.22

Answer 16

WOW NICE. I HOPE I DO TOO!! LOL WIKIPEDIA IS CRAP^^

Answer 17

//no comment

Answer 18

Spencer I am certain you are wrong. To make a sentence equivelant it has to be controposivtive not if and only if.

Answer 19

rspencer, I get what you're saying, but this is a "if.. then" statement not a "if and only if" statement.

Answer 20

dont you just take the first clause and swap it with the second, or soming like that

Answer 21

Switch and negate :P

Answer 22

If I like pie, then I'll buy pie = I'll not buy pie, if I don't like pie.

Answer 23

Jeff won't be happy, if he fails math.

Answer 24

IDK what im doin ¯\(°_o)/¯

Answer 25

Heyy wheres my medal ;)