Question

Write a statement in symbolic form
A bobcat cannot purr if and only if a panther does not have a long tail.

Answer 1

"if and only if" .... what type of statement is it?

Answer 2

there's an original statement, negation, converse, contrapositive, biconditional....
if and only if fits one of those definitions. ^

Answer 3

if and only if is a biconditional statement with this <-> notation

Answer 4

@Lynnmichael2 in symbolic terms it's P<-> Q
so what is your P and what is your Q in this case?

Answer 5

that's backwards... it is true that a biconditional statement creates if p then q and if q then p , but we are just trying to represent that sentence in symbolic notation

Answer 6

so who's the p and who's the q for that entire sentence?

we know if and only if is represented by <-> in symbolic notation

A bobcat cannot purr <-> a panther does not have a long tail.

Answer 7

P is on the left of <->
Q is on the right of <->

Answer 8

that p is bobcat and q is panther

Answer 9

A bobcat cannot purr <-> a panther does not have a long tail.

P: bobcat can't purr
Q: panther doesn't have a long tail
P<-> Q

Answer 10

Thank you. It helps me understand. I am new to this site. So appreciate