x+3=1 (mod 4)?

Question

nd also tell me what mod mean plz...i dink is sumdin modular system...but i dunno what it mean...

Answer 1

2

I think the best answer is the smallest positive integer --> mine!

Answer 2

x + 3 = 1 (mod 4) means that the difference between x + 3 and 1 is a multiple of 4, that is, that there is some integer m such that
( x + 3 ) - 1 = 4m. Since ( x + 3 ) -1 = x + 2 = 4m, then x is any integer that leaves a remainder of 2 when you divide it by 4. There are an infinite number of possible values for x : x = 2, x = 6, x = 10, x = 14, x = 18, etc. Notice that you just add 4 to any solution and you get the next solution. You can also subtract 4 from any solution to get another solution: x = 2, x = -2, x = -6, x = -10, x = -14, x = ,18, and so on to get all the negative solutions.

Answer 3

Another way of interpreting this is " x +3 is equal to 1 more than a multiple of 4." Let y= a multiple of 4. So x+3=y+1. x = y-2.
Or x = -2(mod 4)

Basically, modular system is also known as clock arithmetic. It's cyclic(it repeats). For example, when doing time computations, you should use a 12 hour mod scale, since it repeats every 12 hours.

in your question, 9 = 1 (mod 4), since 9 is 1 more than 8, which is a multiple of 4. however, 9 = 13 = 1(mod 4), since 13 is also 1 more than a multiple of 4(12).

Oh, btw, technically, when you're doing modular arithmetic, it's not an equal sign. It's three lines instead of two, and you read it as "x plus 3 is congruent to 1(mod 4)."

Answer 4

Its -2 and mode is the most seen number!

Answer 5

Hi! can this be voted as your best answer?!