Question

What kind of reason is used here?
If a=b and c=d, then a+c=b+d.
A. Deductive
B. Inductive
C. Hypothesis
D. Conclusion

Answer 1

Okay thank you!

Answer 2

but wait** haha

Answer 3

Oh okay haha thanks

Answer 4

I thought it says inductive reasoning, then I'd be correct :) you're welcomed.

Answer 5

no, the type of reasoning here is deductive. Inductive reason can be thought of as using a small subset of examples to prove a rule. Here you are given two rules and deducing the conclusion (which isn't a type of reasoning), thus are using deductive reasoning.

Answer 6

Oh

Answer 7

hypothesis and conclusion are not types of reasoning, they are part of the method to create an experiment (or a mathematical). Those are trick answers.

Answer 8

Oh okay thank you! Do you think you could answer this other one I have?@sylbot

Answer 9

@sylbot I think he's right : o
deductive reasoning is using a one step process. If... then..

Answer 10

good job catching that :))

Answer 11

yeah, shoot I should be able to help

Answer 12

What kind of reasoning is Althea using?
Althea notices that 4=2+2,6=3+3,8=5+3, and 28=23+5, so she thinks it is likely that she can write every number as the sum of two prime numbers.
A. Deductive
B. Inductive
C. Hypothesis
D. Conclusion

Answer 13

This is a perfect example of what I was talking about earlier when I said inductive reasoning. Here she is using a small subset of examples to prove a rule. Each equation is an example, and the rule is " she can write every number as the sum of two prime numbers. "

Answer 14

Oh okay so it's inductive reasoning

Answer 15

yup

Answer 16

Okay what about this

Answer 17

i think u study alot hehe :)

Answer 18

Refer to the following conditional statement: if a and b are odd integers then a-b is an even integer
State the contrapositive of the statement.
1. If a- b is an even integer, then a and b are not odd integers
2. If a and b are not odd integers then a-b is not an even integer
3. If a-b is an even integer then a and b are odd integers
4. a-b is an even integer

Answer 19

ok so do you know the general case of contrapositive? Essentially is the complete opposite of the positive. So the positive looks like
If a, then b.
The contrapositive looks like
If not b, then not a.

Can you figure it out with this?

Answer 20

I think it's 3

Answer 21

Oh nvm Idk lol

Answer 22

nope thats the negative and its a very dangerous trap. Its not necessarily true.

Answer 23

You just deleted it lol

Answer 24

yeah, uh none of there choices are correct. The statement should be something like:
"If a-b is not an integer, then a and b are not odd integers."
This is the true contrapositive of the statement. I'm pretty certain that none of these choices are right.

Answer 25

I deleted it because I needed to check myself real quick :P but yeah,
http://www.mathwords.com/c/contrapositive.htm

It seems like what I said holds true.

Answer 26

Also when I said 3 was the negative, I mean 3 was the INVERSE, sorry about that. The inverse occurs when negating both sides of the logic statement but doesn't not necessarily hold true.

Answer 27

Oh we'll then great lol

Answer 28

Okay. No worries thank you :)

Answer 29

did you get the answer? Was there a mistake or something?

Answer 30

I don't think so

Answer 31

Oh quick edit, I missed a word. The contrapositive should be
"If a-b is not an even integer, then a and b are not odd integers"

Answer 32

Yeah I saw that I just figured that is what you meant. :) lol