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If AxB = { (-1, 0), (1,0), (1,3), (2,4), (3,5) }, then find A.

2 Answers

4 votes
To find the set A from the given set AxB, we need to isolate the first element of each ordered pair in AxB.

Therefore, A is the set of all first coordinates of the ordered pairs in AxB.

From AxB, we have:

AxB = { (-1, 0), (1,0), (1,3), (2,4), (3,5) }

The first coordinates of the ordered pairs in AxB are:

-1, 1, 1, 2, 3

Therefore, A is:

A = {-1, 1, 2, 3}

Hence, the set A is {-1, 1, 2, 3}.
User Daniel Long
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6 votes

Answer:

{-1, 1, 2, 3}

Explanation:

To find A, we need to determine the set of all possible values of the first component of the ordered pairs in AxB.

Looking at the ordered pairs in AxB, we see that the possible values of the first component are -1, 1, 2, and 3. These correspond to the first components of the pairs (-1, 0), (1, 0), (2, 4), and (3, 5), respectively.

Therefore, A = {-1, 1, 2, 3}.

User Jason Lee
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8.1k points