Let Z be the set of integers. If \({\rm{A}} = \left\{ {{\rm{x}} \in {\rm{Z}}:{2^{\left( {{\rm{x}} + 2} \right)\left( {{{\rm{x}}^2} - 5{\rm{x}} + 6} \right)}} = 1} \right\}{\rm{\;}}\) and B = {x ∈ Z : - 3 < 2x – 1 < 9} then the number of subsets of the set A × B, is

Let Z be the set of integers. If \({\rm{A}} = \left\{ {{\rm{x}} \in {

1.	Let Z be the set of integers. If \({\rm{A}} = \left\{ {{\rm{x}} \in {\rm{Z}}:{2^{\left( {{\rm{x}} + 2} \right)\left( {{{\rm{x}}^2} - 5{\rm{x}} + 6} \right)}} = 1} \right\}{\rm{\;}}\) and B = {x ∈ Z : - 3 < 2x – 1 < 9} then the number of subsets of the set A × B, is
A.	212
B.	218
C.	215
D.	210
Answer» D. 210