Question

Read each statement. Write the statement as:
a) a conditional statement in If…, then….format b) a converse to the conditional statement
c) an inverse to the conditional statement d) a contrapositive to the conditional statement

Answer 1

1. When you practice, you gain more skill.
a) conditional statement:
b) converse
c) inverse
d) contrapositive

Answer 2

2. On your birthday, you get a present.
a) conditional statement:
b) converse
c) inverse
d) contrapositive


3. Two angles that form a vertical pair are equal.
a) conditional statement:
b) converse
c) inverse
d) contrapositive


4. Review your answers for number 3. Evaluate if each
statement is true or false. If it is false, draw/provide a
counterexample (a sketch proving it is false).
a) conditional statement: true or false?
b) converse: true or false?
c) inverse: true or false?

Answer 3

you mean one of those if ... then... statements.

Answer 4

If A then B... conversely, if B then A.

Answer 5

im confused

Answer 6

Do not give Direct Answers!

Answer 7

like. If I go to the park, then I'm playing basketball.
Conversely, if I'm playing basketball, then I go to the park.

Answer 8

I wasn't giving direct answers... just hints brah!

Answer 9

AN EXAMPLE brah!

Answer 10

well sh*t i still dont get omg

Answer 11

i hate this bs

Answer 12

What is your A and what is your B?

Answer 13

which ?

Answer 14

this is logic stuff and I've been through it but I can't help if there's a FFFFFFFF* troll accusing me of bs that I didn't do.

Answer 15

what

Answer 16

So I'll give an example sentence... NOT GIVING A DIRECT ANSWER ***H***

Let's try...

If it's Sunday, then I'll go to church .
Let A = it's Sunday
and
Let B = I'll go to church
If A then B

Answer 17

@WWWHHHAAATTT? do you know what to do?

Answer 18

Conversely, If B then A

Conversely,

If I go to church, then it's Sunday

with B = go to church and A = it's Sunday

Answer 19

ohhhhhhhhhhhhhh

Answer 20

:)

Answer 21

Ok, What Question do you need help with?

Answer 22

So Contrapositive is a reverse negation...

Answer 23

so a for #1 is you gain more skill and b would be; when you practice?

Answer 24

we need to figure out the rest of the choices first before we move on.. It sounds like a converse...
LIke if you gain more skill, then you'll practice...

Conversely

If you'll practice, then you gain more skill

Answer 25

what would inverse be?

Answer 26

So anyway let me tell you what Contra-positive is

Remember my if it's Sunday, then I'll go to church
A = it's sunday
B = go to church

Negation is IF NOT A THEN NOT B

If it's not Sunday, then I won't go to church...

Contrapositive is IF NOT B THEN NOT A

If I won't go to church, then it's not Sunday.

Answer 27

hmm never encountered the word inverse before... All I know is that there is a conditional statement, conversely, negation, and contrapositive.

Answer 28

so d on #1 would be You wiil not gain more skill if you dont practice

Answer 29

so for the first one... you leave it as is for the conditional statement.

When you practice, you gain more skill.

A = you practice
B = Gain more skill

If A then B

if B then A is the converse
If NOT A then NOT B
if NOT B then NOT A is the contrapositive

Answer 30

yay!

Answer 31

OH I KNOW! The inverse must be the negation of the original sentence.

When you practice, you gain more skill.
A = you practice
B = Gain more skill

that's the conditional... what is the negation.

HINT: IF NOT A THEN NOT B

Answer 32

i got the other 3 but not inverse

Answer 33

I think inverse means negation... maybe your book is using a different term than mine, but I know there are only four possible outcomes

Answer 34

ok

Answer 35

ok i got inverse

Answer 36

for #1
a is the origanal statement
b is you gain more skill, when you practice
c is when you don't practice, you won't gain more skill
d is the you wont gain more skill if you dont practice

Answer 37

YAY! :D

Answer 38

the next two questions operate like this, but the fourth one requires some real thinking D:

Answer 39

how will the 4th on work?

Answer 40

hmm if it's false, you have to disprove the statement you have and depending on what the topic is that may not be easy.

Answer 41

it's best to understand what's really going on before trying to attempt a proof.

Answer 42

ok

Answer 43

thank you so much :)