What is mod |x|

Q. $\text{If}9\equiv 3\left(mod6\right)\text{and}14\equiv 2\left(mod6\right)$, then $23\equiv x\left(mod6\right)$. Find x.

Q.

How to open mod and cocept of mod and mod inequality please tell

Q. The solution of: $8\mathrm{mod}x\equiv 6\mathrm{mod}14$ is,

Q. 24 MHz clock frequency is applied to a cascaded counter of MOD-3, MOD-4 and MOD-5 counter. The lowest output frequency and the MOD value of the cascaded counter are

Q. $\text{If}9\equiv 3\left(mod6\right)\text{and}14\equiv 2\left(mod6\right)$, then $126\equiv z\left(mod6\right)$. Find z.