Question

If an object weighs 3 kilograms, then the object weighs 3000 grams.

Give the contrapositive of the statement

if
Then

Give the converse of the statement
if
then

Give the inverse of the statement
if then


If : an object weighs 3000 grams
an object does not weigh 3000 grams
an object weighs 3 kilograms
an object does not weigh 3 kilograms

Then: The object weighs 3000 grams
The object does not weigh 3000 grams
The object weighs 3 kilograms
The object does not weigh 3 kilograms

Answer 1

the statement is like
A -> B

the contrapositive is like
~B -> ~A

Answer 2

i dont get it ?

Answer 3

In logic, we deal with statements of the form \[P \rightarrow Q\]which is read "P implies Q" or "If P, then Q". In this particular case, your statement is "If an object weighs 3 kilograms (P), then it weighs 3000 grams (Q)".

A logical statement has 3 related statements, called the inverse, the converse, and the contrapositive.

The inverse is \[¬P \rightarrow ¬Q\]which is read "If not P, then not Q." In this case, we would have "If an item does not weigh 3 kilograms (Not P), then it does not weigh 3000 grams (Not Q)".

The converse is \[Q \rightarrow P\]which is read "If Q, then P." In this case, we would have "If an item weighs 3000 grams (Q), then it weighs 3 kilograms (P)".

The contrapositive is \[¬Q \rightarrow ¬P\]which is read "If not Q, then not P." In this case, we would have "If an item does not weigh 3000 grams (Not Q), then it does not weigh 3 kilograms (Not P)".

Answer 4

Apparently OpenStudy does not properly display the negation sign - here's a picture of it: https://www.google.com/search?q=not+sign&espv=2&es_sm=93&source=lnms&tbm=isch&sa=X&ei=bICFVIGFFYGHgwTkmoQw&ved=0CAgQ_AUoAQ&biw=1680&bih=925#tbm=isch&q=negation+sign&facrc=_&imgdii=_&imgrc=4_rwcb4LYlDO0M%253A%3Bvqkqh6oYJnwZSM%3Bhttp%253A%252F%252Fwww.theasciicode.com.ar%252Fascii-codes%252Flogical-negation-symbol-ascii-code-170.gif%3Bhttp%253A%252F%252Fwww.theasciicode.com.ar%252Fextended-ascii-code%252Flogical-negation-symbol-ascii-code-170.html%3B180%3B202

Answer 5

yeah read blacksteels msg that is as good as it gets

Answer 6

Are you still having trouble @Beautykillsszz