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Mathematics 13 Online
OpenStudy (anonymous):

Read the proposition and the implication shown below:

OpenStudy (anonymous):

OpenStudy (mrnood):

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...

OpenStudy (anonymous):

Is it A @MrNood

ganeshie8 (ganeshie8):

statement : `if a, then b` contrapositive : `if NOT b, then NOT a`

OpenStudy (anonymous):

So was I right?

ganeshie8 (ganeshie8):

nope

ganeshie8 (ganeshie8):

You need to switch the statements and negate them

OpenStudy (anonymous):

B?

ganeshie8 (ganeshie8):

\(\large \text{"If} \color{red}{ \text{ the lights are off }}, \color{green}{\text{there is no one inside}}"\)

ganeshie8 (ganeshie8):

swap the red and green statements, then negate them

OpenStudy (mrnood):

@CaseyCarns are you just gonna guess abcd untilo someone says you are right - or are you gonna think at all?

OpenStudy (anonymous):

I am actually trying to find the answer I'm just guessing but thanks @MrNood

OpenStudy (anonymous):

*I'm not just

OpenStudy (anonymous):

@ganeshie8 to me that sounds like D

ganeshie8 (ganeshie8):

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 : \(\large \text{"If} \color{green}{\text{ there is NOT no one inside}},\color{red} { \text{ the lights are NOT off }}"\)

ganeshie8 (ganeshie8):

thats same as : \(\large \text{"If} \color{green}{\text{ there is someone inside}},\color{red} { \text{ the lights are on }}"\)

ganeshie8 (ganeshie8):

You're right ! its D !!

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