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Math Word Problem

Kieth nicolle Olarte

Answered question

2022-10-02

Answer & Explanation

Nick Camelot

Skilled2023-06-05Added 164 answers

To determine which of the sets A, B, C, and D are equal, we can compare the elements in each set.
Set A:

A = {a, b, c, d}

Set B:

B = {d, e, a, c}

Set C:

C = {d, b, a, c}

Set D:

D = {a, a, d, e, c, e}

Let's compare the elements of each set:
Set A has elements:

a, b, c, d

.
Set B has elements:

d, e, a, c

.
Set C has elements:

d, b, a, c

.
Set D has elements:

a, a, d, e, c, e

.
Comparing the elements directly, we can see that:
Set A and Set C have the exact same elements, although their order may be different. Therefore, we can conclude that Set A and Set C are equal.
In set notation, we can express this as:

A = C = {a, b, c, d}

Set B and Set D have different elements compared to Set A and Set C. Therefore, we can say that Set B and Set D are not equal to Set A and Set C.
So, the equal sets are:

A = C = {a, b, c, d}

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