2. If A x B = {(2, 6), (1, 8), (2, 4), (1, 4), ( (2, 8)), then set A is equal to​

Answers 1

Given: [tex]A[/tex] × [tex]B[/tex] [tex]=((2, 6), (1, 8), (2, 4), (1, 4), ( (2, 8))[/tex]

To find: Set [tex]A[/tex]

Solution:

The set of [tex](a,b)[/tex], where [tex]a[/tex] is an element of set [tex]A[/tex] and [tex]b[/tex] is an element of set [tex]B[/tex], is known as [tex]A[/tex] × [tex]B[/tex].

[tex]A[/tex] has values of [tex]2, 1, 2, 1, 1, 2[/tex]

That is, [tex]1,2[/tex]  and [tex]A[/tex] have distinct values.

The values in the set [tex]A[/tex] are thus [tex]1[/tex] and [tex]2[/tex].

Therefore, the set [tex]A=(1,2)[/tex]

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