Question
Letting $A=\{(1,1),(2,3)\}$ and $B=\{(0,0),(-1,-2)\}$, describe the sets $A+B, 2 A$, and $2 A+B$.
Step 1
The set \( A + B \) is defined as the set of all possible sums of elements from \( A \) and \( B \). Specifically, for each pair \((a_1, a_2) \in A\) and \((b_1, b_2) \in B\), the sum is \((a_1 + b_1, a_2 + b_2)\). Show more…
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