OpenStudy (anonymous):

Read the proposition and the implication shown below:

4 years ago
OpenStudy (anonymous):

4 years ago
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...

4 years ago
OpenStudy (anonymous):

Is it A @MrNood

4 years ago
ganeshie8 (ganeshie8):

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

4 years ago
OpenStudy (anonymous):

So was I right?

4 years ago
ganeshie8 (ganeshie8):

nope

4 years ago
ganeshie8 (ganeshie8):

You need to switch the statements and negate them

4 years ago
OpenStudy (anonymous):

B?

4 years ago
ganeshie8 (ganeshie8):

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

4 years ago
ganeshie8 (ganeshie8):

swap the red and green statements, then negate them

4 years ago
OpenStudy (mrnood):

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

4 years ago
OpenStudy (anonymous):

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

4 years ago
OpenStudy (anonymous):

*I'm not just

4 years ago
OpenStudy (anonymous):

@ganeshie8 to me that sounds like D

4 years ago
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 : $$\large \text{"If} \color{green}{\text{ there is NOT no one inside}},\color{red} { \text{ the lights are NOT off }}"$$

4 years ago
ganeshie8 (ganeshie8):

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

4 years ago
ganeshie8 (ganeshie8):

You're right ! its D !!

4 years ago