What Is Modular System mean? nd how u do dis problem?

Question

x+3=1 *Mond =4*

nd plz dun just give me the answer...explain...oh nd..dun give me the answer...-2..cuz den im sure that is not -2

Answer 1

Mod is just a fancy way of saying 'remainder after division'. So, for example, 5 mod 4 is 1, 7 mod 5 is 2, 257 mod 11 is 4, etc.

Your problem asks what values of x make (x+3) mod 4 =1
Well x=2 works since 2+3=5 and 5/4 = 1 with a remainder of 1. It is an interesting fact that *all* numbers that will work are integer multiples of 4 added to the first one (6 works, 6+3=9 and 9/4 = 2 R1, 10+3=13 13/4=3 R1, etc.) So the answer is x = (2+4n) where n is any integer.


Doug

Answer 2

want to solve
x+3=1 mod 4

so x = 1-3 mod 4
x=-2 mod 4,

x+2=0 mod 4
so x+2 =0, 4, 8, etc

so x= 4-2 mod 4
i.e. x=2 mod 4