Question

Are these logically equivalent (please explain why or why not):
Statement (Conditional): If I get an A on my math homework, then Dr. Madness will be defeated.
Code #1 (Inverse): If I do not get an A on my math homework, then Dr. Madness will not be defeated.
Code #2 (Converse): If Dr. Madness is defeated, then I got an A on my math homework.
Code #3 (Contrapositive): If Dr. Madness is not defeated, then I did not get an A on my math homework.
**I got the rest of my work done but this part confuzzled me, lol. Please help.?

Answer 1

Contapositive of a statement is always true, if the original statement is true

Answer 2

which part confuses you @that1chick

Answer 3

I just dont get how to explain if something is logically equivalent

Answer 4

the lesson didnt giva a good example

Answer 5

ok well lets just go thru all the statements and see y the other ones r not logically equivalent

Answer 6

if you show me how to do the first, i can probably get the rest..

Answer 7

so if dont have an A, then hes not defeated... right? lol

Answer 8

Ok so if I get an A then Dr madness will be defeated that is our original statement

Answer 9

for the Contrapositive

Answer 10

do u know abt truth tables btw?

Answer 11

sry, paying attension.. pray continue

Answer 12

truth table?

Answer 13

thats right @that1chick
lets go one by one... as @swissgirl is trying to help..

Answer 14

Dr Madness will be defeated if he gets sick down with cold also... your getting A is just one way of defeating him

Answer 15

you mean statement vs nagation..? @swissgirl

Answer 16

okay, so theres other way to beat him

Answer 17

my way just helps me too (:

Answer 18

so all we know is that if I get an A then Dr. Madness will be defeated
Inverse: If I dont get an A then Dr. Madness will not be defeated
This isnt equivalent to the original statement cuz he can get defeated anotherr way like @ganeshie8 said
all we know is that if i get an A then he will be defeated

Answer 19

toshea

Answer 20

yup! original statement DOESNT specifically say, your getting A is the only way to defeat him. so there are other ways too..

Answer 21

Converse: If Dr. Madness is defeated then I got an A
As we said b4 he can get defeated another way

Answer 22

for the Converse, just cuz he is defeated doesnt mean I get an A, right?

Answer 23

yes

Answer 24

BUTTTTTT the last statement says If Dr. Madness is not defeated then I didnt get an A is logically equivalent to our original statement since if he was defeated then i got an A but since he wasnt defeated then obv i didnt get an A

Answer 25

thanks yall for helping me not be such a dits xD

Answer 26

and yall made it towhere i wont need help on this type of problem again! double thanks!! (:

Answer 27

hhahahah your welcome :)

Answer 28

**Basically it’s a one-way street, if I get an A then he was defeated, but just because he was defeated does not necessarily mean I got an A as there could have been other ways to defeat him. <--- summed up ;D

Answer 29

yesssssss kinda but its a two way street in my opinion since if he wasnt defeated than I didnt get an A

Answer 30

u just forgot to include the last statement

Answer 31

his defeat does not mean I got an a, but my A means he was defeated

Answer 32

but u need to include that if he wasnt defeated then i didnt get an A

Answer 33

so, if I did not get an A then he could have still been defeated and him getting defeated does not mean I got an A

Answer 34

Wanna read my thing to see if I got it right? ...its kinda long

Answer 35

ya y not. U r correct with what u r saying but u left out a point that if he isnt defeated then I didnt get an A

Answer 36

1. From the conditional statement that you wrote, determine if the inverse, converse, and contrapositive are logically equivalent. Explain for each statement why or why not.

Answer 37

The conditional statement is “If I get an A on my math homework, then Dr. Madness will be defeated.” This is not logically equivalent to the (inverse) statement “If I do not get an A on my math homework, then Dr. Madness will not be defeated” because he can get defeated another way than by me getting an A on my math homework. The same goes for the (converse) statement “If Dr. Madness is defeated, then I got an A on my math homework” as he can be defeated other ways than by me getting an A on my math homework. However, the (contrapositive) statement “If Dr. Madness is not defeated, then I did not get an A on my math homework” as the condition statement had stated that if I got an A, then Dr. Madness was defeated which is equivalent to saying that if Dr. Madness was not defeated, then I get no A. **Basically it’s a one-way street, if I get an A then he was defeated, but just because he was defeated does not necessarily mean I got an A as there could have been other ways to defeat him. Also, if I did not get an A then he could still have been defeated, and him getting defeated does not mean I got an A. Point blank, if he isn’t defeated then there is not way I got an A.

Answer 38

thanks, I had forgot that part

Answer 39

ok I just corrected a few minor details. Sorry it took soo long my sis was just bothering me
The conditional statement is “If I get an A on my math homework, then Dr. Madness will be defeated.” This is not logically equivalent to the (inverse) statement “If I do not get an A on my math homework, then Dr. Madness will not be defeated” because he can get defeated another way than by me getting an A on my math homework. The same goes for the (converse) statement “If Dr. Madness is defeated, then I got an A on my math homework” as he can be defeated other ways than by me getting an A on my math homework. However, the (contrapositive) statement “If Dr. Madness is not defeated, then I did not get an A on my math homework” is logically equivalent to the original conditional statement since if I got an A then Dr. Madness was defeated but if Dr. Madness wasn't defeated then its impossible that I got an A and therefore I didnt get an A **Basically it’s a one-way street, if I get an A then he was defeated, but just because he was defeated does not necessarily mean I got an A as there could have been other ways to defeat him. Also, if I did not get an A then he could still have been defeated, and him getting defeated does not mean I got an A. Point blank, if he isn’t defeated then there is not way I got an A.

Answer 40

thanks

Answer 41

now I just gotta figure out how to answer the last question so I can turn it in(:

Answer 42

what is the last question?

Answer 43

The mayor isn’t as good at geometric proofs as the Geo Squad. Explain to the mayor how using geometric proofs helps maintain the order in Geo City.

Answer 44

lol cant help u with that but post that question on another post and see what u get. Maybe others can answer that

Answer 45

k thanks (:

Answer 46

noooo close this question and then ask another one

Answer 47

its gonna confuse everyone

Answer 48

i was about to ask you that lol