Q2 3rd part

Dear student

From the definition of A, B and C

$$\begin{gathered} A=\left\{2,3\right\} \\ B=\left\{0,1\right\} \\ C=\left\{1,2\right\} \\ LHS=(A-B)\times C \\ =\left(\left\{2,3\right\}\right)\times \left\{1,2\right\} \\ =\left\{(2,1),(2,2),(3,1),(3,2)\right\} as A\times Brepresents Cartesian Product: set of ordered pairs from A and B \\ RHS=(A\times C)-(B\times C) \\ =\left\{(2,1),(2,2),(3,1),(3,2)\right\}-\left\{(0,1),(0,2),(1,1),(1,2)\right\} \\ =\left\{(2,1),(2,2),(3,1),(3,2)\right\} \\ so LHS=RHS \end{gathered}$$

Regards