The question is asking for the cardinality (or size) of sets A and B given certain conditions.

Let's break it down:

1. Set A = {4, |B|}. The cardinality of A (|A|) is the number of elements in set A. Here, we have two elements: 4 and |B|. So, |A| = 2.

2. Set B = {2, |A|, |B|}. The cardinality of B (|B|) is the number of elements in set B. Here, we have three elements: 2, |A|, and |B|. However, since |A| = 2 (from step 1), and |B| is the cardinality of B itself, we can say that |B| = 2 as well. This is because the elements 2, |A|, and |B| in set B are all equal to 2, so they are not distinct elements.

Therefore, the correct answer is c. |A| = 2 and |B| = 2.

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The question is asking for the cardinality (or size) of sets A and B given certain conditions.

Let's break it down:

1. Set A = {4, |B|}. The cardinality of A (|A|) is the number of elements in set A. Here, we have two elements: 4 and |B|. So, |A| = 2.

2. Set B = {2, |A|, |B|}. The cardinality of B (|B|) is the number of elements in set B. Here, we have three elements: 2, |A|, and |B|. However, since |A| = 2 (from step 1), and |B| is the cardinality of B itself, we can say that |B| = 2 as well. This is because the elements 2, |A|, and |B| in set B are all equal to 2, so they are not distinct elements.

Therefore, the correct answer is c. |A| = 2 and |B| = 2.

Knowee AI · Accepted Answer

The question is asking for the cardinality (or size) of sets A and B given certain conditions.

Let's break it down:

1. Set A = {4, |B|}. The cardinality of A (|A|) is the number of elements in set A. Here, we have two elements: 4 and |B|. So, |A| = 2.

2. Set B = {2, |A|, |B|}. The cardinality of B (|B|) is the number of elements in set B. Here, we have three elements: 2, |A|, and |B|. However, since |A| = 2 (from step 1), and |B| is the cardinality of B itself, we can say that |B| = 2 as well. This is because the elements 2, |A|, and |B| in set B are all equal to 2, so they are not distinct elements.

Therefore, the correct answer is c. |A| = 2 and |B| = 2.

If A = {4, |B|} and B = {2, |A|, |B|}, then which of the following is true?Question 5Answera.There cannot be any two such sets A and Bb.|A| = 2 and |B| = 1c.|A| = 2 and |B| = 2d.|A| = 2 and |B| = 4

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