Question

give the truth value of each bi-conditional.
x=5 if and only if x >3 I need someone to guide me :3

Answer 1

so I write If x=5, then only if x >3

Answer 2

Is this some sort of truth table kind of problem? Or is this something different?

Answer 3

yeah something like that

Answer 4

Well, when you see if and only if, do you know what you need to show?

Answer 5

I have to do two steps

Answer 6

I need to make the both statements true

Answer 7

This may help.

Answer 8

So do I write If x=5, then x >3

Answer 9

@Directrix

Answer 10

Yes,
also If x > 3, then x = 5

Answer 11

both directions u need to check if it holds

Answer 12

wat we doing is basically, we're ASSUMING one statement is given to be true, and checking whether the other statement holds or not.

Answer 13

yeah that's right so after what should I do?

Answer 14

let me put the steps together

Answer 15

Given biconditional :- x=5 if and only if x >3

split it into two statements
1) if x=5, then x > 3
2) if x >3, then x=5

Answer 16

once you have the two sub-statements, check truth value of both of them.
if you get both TRUE, then the truth value of given biconditional is TRUE. cuz it holds in both directions

Answer 17

1) true and the second one is true

Answer 18

careful wid hte second one

Answer 19

oh that's false

Answer 20

So...

Answer 21

but wouldn't the final answer be false

Answer 22

cause of T implies False

Answer 23

would be false?

Answer 24

Yes, final truth value is FALSE.

Answer 25

dont mix implies wid biconditional ok

Answer 26

Thank you ganeshie8 for the tremendous help :)

Answer 27

I will take that as a side note

Answer 28

in this case its

Answer 29

forgot about that xD I'm still new to geometry