The solution set of x equiv 3 pmod{7},where p | vedclass

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Question

(C) The given congruence relation is $x \equiv 3 \pmod{7}$.By the definition of modular arithmetic,$x \equiv a \pmod{n}$ implies that $x - a$ is a mul

Vedclass · Accepted Answer

$\{7p + 3 : p \in \mathbb{Z}\}$

Vedclass · Answer

(C) The given congruence relation is $x \equiv 3 \pmod{7}$.By the definition of modular arithmetic,$x \equiv a \pmod{n}$ implies that $x - a$ is a multiple of $n$.Therefore,$x - 3 = 7p$ for some integer $p \in \mathbb{Z}$.Rearranging the equation to solve for $x$,we get $x = 7p + 3$.Thus,the solution set is $\{7p + 3 : p \in \mathbb{Z}\}$.

The solution set of $x \equiv 3 \pmod{7}$,where $p \in \mathbb{Z}$,is given by:

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