Answer:
7
Step-by-step explanation:
Answer:
Step-by-step explanation:
Answer:
The given congruence is false.
Step-by-step explanation:
Given : Expression ![12 \equiv 10 \mod 5](https://tex.z-dn.net/?f=12%20%5Cequiv%2010%20%5Cmod%205)
To find : Determine whether the congruence is true or false ?
Solution :
The congruence is in the form ![x\mod y\equiv r](https://tex.z-dn.net/?f=x%5Cmod%20y%5Cequiv%20r)
where, x is the dividend
y is divisor
r is the remainder
So, We find ![10 \mod 5](https://tex.z-dn.net/?f=10%20%5Cmod%205)
We know, 10 is completely divide by 5 and we get quotient is 2 and remainder is 0.
![10 \mod 5=0](https://tex.z-dn.net/?f=10%20%5Cmod%205%3D0)
As ![0\neq 12](https://tex.z-dn.net/?f=0%5Cneq%2012)
Therefore, The given congruence is false.