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|dw:1348907509327:dw|

if 'a', then 'b' : a-> b

is that correct ?.. can i write teh same as,
only if 'b', then 'a' ?

Are you asking if you can reverse "if A, then B" to "if B, then A"?

no, the thing troubling me is "only if"

That doesn't sound right. "Only if" B still has many things that aren't A.

may i knw why it doesnt sound right to you, it does sound right to me

But... a square is a kind of a rectangle.

|dw:1348907860375:dw|

"A square cannot be a rectangle"?

excuse me, my question is different, plz look at the diagram what im asking

only if its b, then only it can be a

a doesnt have any possibility outside b

No, but just because it's B doesn't necessarily mean it's A.

Replace A with "it rained last night" and B with "the grass was wet the next morning".

@UnkleRhaukus you got me correctly! 3rd point in ur snapshot says it

Ahh, okay, the third point. I thought you were saying something else. My bad.

its okay... i dont get "if and only if" could you walk me through slowly plz

but why it is called "if and only if" is confuses me

Unkle, is it just me, or is "only if B then A" different from "A iff B"?

only if B then A is different from A if and only if B.

a iff b
break as :
if a then b,
a only if b
?

@sara12345 do you understand if a then b?

if and only if \(\Leftrightarrow\) iff

yes, i understood iff also, only the "phrase" is confusing me

I think I'm confused about what your asking. Sorry.

sorry, like
a iff b
can i break it into 2 pieces :
1) if a then b,
2) a only if b ?

the two broken statements, do they cover completely "a iff b" ?

il start over.

these statements say the same thing
1) if a then b,
2) a only if b
_______

ohh yea they say same thing, a->b

to meant the same as a iff b
switch the letters around in one of them

so hw can iu break it meanigfully

i see there is lot of difference between,
"if" and "only if"