Let Z be the set of integers, if A = \ x ∈ ℤ: |x - 3|(x^ 2 - 5x +...

For& $A$,

~\left|x - 3\right| = 1 ⇒ x = 2,4$~or<br />$x^{2} - 5x + 6 = 0 ⇒ x = 2,3$but$x \ne 3$<br />$∴ A = \left\{2,4\right\}

For~$B$,

$B = \left\{4 ,5 , 6\right\}$
$n\left(A \times B\right) = 6$

$∴$~number of subsets $= {2}^{6}$