Question

Whether p\equiv q\pmod m, when p=29,q=-34, and m=7.

Congruence
ANSWERED
asked 2021-05-09
Whether \(\displaystyle{p}\equiv{q}\pm{o}{d}{m}\), when p=29,q=-34, and m=7.

Answers (1)

2021-05-11
Definition used:
Congruence
Let m be an integer greater than 1. If x and y are integers, then x is congruent to y modulo m if x — y is divisible by m. It can be represented as \(\displaystyle{x}={y}\pm{o}{d}{m}\). This relation is called as congruence modulo m.
Calculation:
Given numbers are p = 29,q = 34, and m =7.
For being congruence 29 - (-34) = 63 has to divisible by 7.
That is, 63 = 9*7+0.
Here, the remainder is 0. Therefore, 63 is divisible by 7.
Therefore, When p = 29,q = -34, and m = 7, \(\displaystyle{p}\equiv{q}\pm{o}{d}{m}\).
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