Read the proposition and the implication shown below:
Just ignore the language of the logic for now and just READ the answers. Only ONE of the answers can definitely be derived from the statement. The question say it's the 'logical equivalent' so it has the same 'everyday meaning' Read them, and see if you can spot the only correct derivation...
Is it A @MrNood
statement : `if a, then b` contrapositive : `if NOT b, then NOT a`
So was I right?
nope
You need to switch the statements and negate them
B?
\(\large \text{"If} \color{red}{ \text{ the lights are off }}, \color{green}{\text{there is no one inside}}"\)
swap the red and green statements, then negate them
@CaseyCarns are you just gonna guess abcd untilo someone says you are right - or are you gonna think at all?
I am actually trying to find the answer I'm just guessing but thanks @MrNood
*I'm not just
@ganeshie8 to me that sounds like D
statement : \(\large \text{"If} \color{red}{ \text{ the lights are off }}, \color{green}{\text{there is no one inside}}"\) after swapping : \(\large \text{"If} \color{green}{\text{ there is no one inside}},\color{red} { \text{ the lights are off }}"\) after negating : \(\large \text{"If} \color{green}{\text{ there is NOT no one inside}},\color{red} { \text{ the lights are NOT off }}"\)
thats same as : \(\large \text{"If} \color{green}{\text{ there is someone inside}},\color{red} { \text{ the lights are on }}"\)
You're right ! its D !!
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