Question

Find all the possible values between 0 and ten that will satisfy.... x≅1(mod 2)????

I answered 3, 5, 7 and 9.

Answer 1

I'm just curious, but why didn't you choose 1?

Answer 2

That is actually why I posted the question because I couldn't figure out why 1 satisfied the equation.

Answer 3

I didn't understand the question :/

Answer 4

\(\mathbb{mod}(x,y)\)
Is one value missing?

Answer 5

what do you mean?

Answer 6

What is \(1(mod2)\)?

Answer 7

basically I was asked to find all of the values of x that are CONGRUENT to 1(mod 2)

Answer 8

Yes, I know, but what is \(1(\mathbf{mod} 2)\)?

Answer 9

Modular arithmetic. 1(mod2), divide a number by 2 and get a remainder of 1.

Answer 10

Do you mean that we have to find the values of x where \(mod(x,2) = 1\)? I think that's your question.

Answer 11

Yes, I know it. And indeed, that's you question.

Answer 12

\(\Large \color{Black}{\Rightarrow x \epsilon 1,3,5,7,9 }\)

Answer 13

what notation are you using?

Answer 14

\(\large \color{Black}{\Rightarrow x \text{ } \epsilon \text{ } \mathfrak{ odd } }\)

Answer 15

How did you get 1?

Answer 16

Yeah I'm sorry, I couldn't understand the notation.

Answer 17

0 divided by 2 leaves remainder 1 and quotient 0.

Answer 18

How did you solve this problem may I ask?

Answer 19

And you should've used \(\equiv\) instead of \(\cong\). Hope this helped.

Answer 20

Well you check all the values that give the remainder as 1.

Answer 21

0 divided by 2 leaves remainder 1 and quotient 0!!!, what type of maths of this?

Answer 22

Lol it's the same thing.

Answer 23

lol that has really confused me.

Answer 24

You have to check the numbers that leave the remainder as 1, and 0/2 leaves the remainder as 1. agree?

Answer 25

my calculator does not agree no.

Answer 26

Oopsie. I got confused lol.

Answer 27

I meant 1/2

Answer 28

I am quite confused about how 1 can be a solution.

Answer 29

All odd numbers are solutions.

Answer 30

what about about the whole remainder of 1 business?

Answer 31

That is the question.

Answer 32

x = 1(mod 2) means that when x is divided by 2, it leaves the remainder of 1.

Answer 33

and 1/2=1/2, so I cannot understand now 1 can be a solution.

Answer 34

All the numbers that can be expressed as \(2\mathbb{Z} + 1\) are solutions here.

Answer 35

\(\mathbb{Z}\) can be 0 here. So, 2(0) + 1 = 1

Answer 36

Divide 1 and 2, it'll leave a remainder of 1.

Answer 37

could how show me please?

Answer 38

http://www.wolframalpha.com/input/?i=Remainder+of+1+over+2 See this.