Official solution
A ={x \[ \in \] z : 2(x+2)(x2 - 5x + 6) = 1}
2(x+2)(x2 - 5x + 6) = 20 \[ \Rightarrow \] x = - 2, 2, 3
A = {-2, 2, 3}
B = {x \[\varepsilon \] Z : - < 2x - 1 < 9}
B = {0, 1, 2, 3, 4}
A \[ \times \] B has is 15 elements so number of subsets of A \[ \times \] B is 215.