Question

What is the converse of the statement?

If you are in Florida then you are in Miami.

(a) If you are in Miami then you are in the United States.
(b) If you are in Miami then you are in Florida.
(c) If you are in Florida then you are a Floridian.
(d) If you are in Miami Beach then you are in Florida.

Answer 1

Statement: If p then q.
Converse: If q, then p.
All you need to do is switch the hypothesis and conclusion.
In a statement, the hypothesis follows the word "if," and the conclusion follows the word "then."

Answer 2

yes his correct

Answer 3

So if you are in Miami then you are in florida?

Answer 4

Correct.

Answer 5

Thank you

Answer 6

can you help with one more?

Answer 7

Statement:
\(\rm If \color{red}{~you ~are ~in ~Florida}, ~then \color{blue}{~you ~are ~in ~Miami}.\)

Converse:
\(\rm If \color{blue}{~you ~are ~in ~Miami}, ~then \color{red}{~you ~are ~in ~Florida}.\)

Answer 8

Sure.

Answer 9

Statement: If p then q.
Converse: If q, then p.
Inverse: If not p, then not q.
Contrapositive: If not q, then not p.

Answer 10

Which of these conditional statements is false but has a true converse?

(A) If you live in the united states then you live in illinois.
(B) If you live in Illinois then you live in the united states.
(C) If you live in the united states then you do Not live in canada.
(D) If you live in canada then you do not live in the united states.

Answer 11

Start with the first one.
Read it carfeully.
Is it true?

Answer 12

no

Answer 13

Good.
You can live in the United States and not live in Illinois.
You are correct. The first statement is false. Let's check the converse.

Now find the converse of the first statement.
Switch the hypothesis and the conclusion.
What do you get for the converse?

Answer 14

if you live in illinois then you live in the united states?

Answer 15

Correct.
Is that a true statement?

Answer 16

yes

Answer 17

Then the answer is A.
Notice that choices B, C, and D, have a true statement to start with, so none of them need to be looked at further since the problem wants an initial statement that is false.

Answer 18

ok Thank you SOOOO MUCH

Answer 19

You are very welcome.