Question

Read the proposition and the implication shown below:

Answer 1

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...

Answer 2

Is it A @MrNood

Answer 3

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

Answer 4

So was I right?

Answer 5

nope

Answer 6

You need to switch the statements and negate them

Answer 7

B?

Answer 8

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

Answer 9

swap the red and green statements,
then negate them

Answer 10

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

Answer 11

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

Answer 12

*I'm not just

Answer 13

@ganeshie8 to me that sounds like D

Answer 14

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

Answer 15

thats same as :

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

Answer 16

You're right ! its D !!