(1) Given the set $A=\{x||(x-2)(x-6) \mid \geqslant 3, x \in \mathbf{Z}, 0 \leqslant x \leqslant$ $7\}$, then the number of non-empty subsets of $A$ is $\qquad$ .
163 Prompt: Since $A=\{0,1,3,4,5,7\}$, the number of non-empty subsets of $A$ is $2^{6}-1=63$.