Sets: Sets
Set builders
Let #A= \{{3,7}\}# and #B = \{{10,12,14}\}# be sets.
Define #C# as the set of all products of an element of #A# and an element of #B#. This means, it has the following set-builder description.
\[C = \{a \cdot b \mid a \in A\text{ and } b \in B\}\]
Rewrite the set #C# by explicit enumeration of its elements, in such a way that the elements are ordered from lowest to highest.
Give your answer in the form of a set.
Define #C# as the set of all products of an element of #A# and an element of #B#. This means, it has the following set-builder description.
\[C = \{a \cdot b \mid a \in A\text{ and } b \in B\}\]
Rewrite the set #C# by explicit enumeration of its elements, in such a way that the elements are ordered from lowest to highest.
Give your answer in the form of a set.
| #C = # |
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