Let Z be the set of integers. If A = x ∈ Z   :   2 x + 2 x 2 - 5 x + 6 = 1 and B = { x ∈ Z    : -   3 <   2 x - 1 < 9 } , then the number of subsets of the set A × B , is :

Question

Let Z be the set of integers. If A = x &#8712; Z &#8201; : &#160; 2 x + 2 x 2 - 5 x + 6 = 1 and B = { x &#8712; Z &#8201;&#8201; : - &#8201; 3 &#60; &#8201; 2 x - 1 &#60; 9 } , then the number of subsets of the set A &#215; B , is :

Aicharya · Accepted Answer

Given 2 x + 2 x - 2 x - 3 = 1 = 2 0 &#8658; x = - 2 , &#160; 2 , &#160; 3 . &#8756; n A = 3 Again, - 3 &#60; 2 x - 1 &#60; 9 &#8658; - 1 &#60; x &#60; 5 &#8658; x = 0 , &#160; 1 , &#160; 2 , &#160; 3 , &#160; 4 &#8756; n B = 5 &#8756; n &#160; A &#215; B = 3 &#215; 5 = 15 &#8756; Number of subset of A &#215; B = 2 15

Let Z be the set of integers. If A = x ∈ Z   :   2 x + 2 x 2 - 5 x + 6 = 1 and B = { x…

Solution

Let Z be the set of integers. If A = x &#8712; Z &#8201; : &#160; 2 x + 2 x 2 - 5 x + 6 = 1 and B = { x…

Solution

Let Z be the set of integers. If A = x ∈ Z : 2 x + 2 x 2 - 5 x + 6 = 1 and B = { x…