1.Let Z be the set of integers. If A={x∈Z:2(x+2)(x2−5x+6)=1}A = \{x \in Z : 2^{(x+2)(x^2-5x+6)} = 1\}A={x∈Z:2(x+2)(x2−5x+6)=1} and B={x∈Z:−3<2x−1<9}B = \{x \in Z : -3 < 2x - 1 < 9\}B={x∈Z:−3<2x−1<9}, then the number of subsets of the set A×BA \times BA×B, is:a.2122^{12}212b.2102^{10}210c.2182^{18}218d.2152^{15}215Login to continueOnly logged in users canattempt or see the solution.