# Determine whether the congruence is true or false. 14 equiv 24 mod 4

Determine whether the congruence is true or false.
$14\equiv 24mod4$
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wlanauee
Given,
$14\equiv 24mod4$
Let a,b be two integers,Then they are said to be congruent modulo n, When
$\frac{a-b}{n}\in \mathbb{Z}$
Where, $\mathbb{Z}$ is set of integers
So,
$\frac{14-24}{4}$
$=\frac{-10}{4}$
$\ne \mathbb{Z}$
Hence, They are not congruent modulo 4.
Result:
False.