Question

livia wrote the following indirect proof:

Prove: 17 is a factor of 323.

Step 1: Assume that 17 is not a factor of 323.
Step 2: 323 divided by 17 is 19.
Step 3: A factor is an integer by which another integer is divisible.
Step 4: Therefore, 17 cannot be a factor of 323.

Which step in Olivia's proof is incorrect?

Answer 1

Step 1

Step 2

Step 3

Step 4

Answer 2

did Olivia even bother to use an Axiom or a definition?

Answer 3

idk

Answer 4

maybe it's a proof by induction?

Answer 5

hmmm

Answer 6

I'm guessing step 2. If the previous step stated that 17 is not a factor, which she is assuming, why would her next step be dividing the number by 17

Answer 7

ture thanks for the help

Answer 8

No problem

Answer 9

fan me :)

Answer 10

hey can u help me out with one more problem

Answer 11

Sure. But make it quick. Got to go soon

Answer 12

ok

Answer 13

"If Amelia finishes her homework, then she will go to the park."

Which of these is logically equivalent to the given statement?

If Amelia did not go to the park, then she did not finish her homework.

If Amelia did not finish her homework, then she will go to the park.

If Amelia goes to the park, then she did not finish her homework.

If Amelia finishes her homework, then she cannot go to the park.

Answer 14

we got a P implies Q and we need to find the equivalency..

Answer 15

errr let's see... the first one is pure negation not P not Q

Answer 16

I do know the truth tables to this

Answer 17

The equivalence to an original is its contra positive which is
Not q implies not p

Answer 18

alright so the q : she goes to the park p : she does her homework
that's converse
contra positive would be If she doesn't go to the park, then she didn't do her homework

Answer 19

-_- wait a sec... all I see is some truth table example mumbo jumbo here

Answer 20

Let p=Amelie finishes hw
q=she will go to park

Answer 21

So ur answer would be if "not q" then " not p"

Answer 22

If Amelia finishes her homework, then she cannot go to the park.

P is True Q is FAlse... implies would be false.. breaks the promise of the original statement

Answer 23

bu t the problem is that the not q and not p are Not choices -_- on the problem x.x

Answer 24

What about the first one??? Isn't that it

Answer 25

idk im good a algebra not geo

Answer 26

this is not geo or algebra.. this is discrete math stuffz

Answer 27

Well I'm pretty sure it's the first

Answer 28

Btw this is actually geo

Answer 29

really? why are these problems in my discrete math book? O_O

Answer 30

this is geo because im taking a geo test on my flvs

Answer 31

oh virtual school hard topics explained faster than ever. I see.

Answer 32

Well this was the first thing I learned in geo in my public school

Answer 33

what the....... my state didn't have this O_O

Answer 34

:(

Answer 35

what state are u from

Answer 36

only now I'm learning it...oh gawd!!!!!!!! D::::::::
I'm from Hawaii

Answer 37

nice my uncle lives in hawaii

Answer 38

but the education system is cra p

Answer 39

lol

Answer 40

I hate to butt into this, but in the original problem, step 4 is the incorrect one. It should say, "Therefore, 17 is a factor of 323."

Answer 41

The rest of it works fine for an indirect proof. Step 1: Take the prove statement and assume the opposite of it as the given. Step 2: Use this given to reason logically until the original given is contradicted. 3: Because the opposite contradicts the given, the opposite cannot be true, therefore the prove is true.

Answer 42

Haha. My bad. How could I have missed that