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On the Venn diagram below, shade in the region that represents $A \cap B$ - Junior Cycle Mathematics - Question 2 - 2015

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On the Venn diagram below, shade in the region that represents $A \cap B$. On the Venn diagram below, shade in the region that represents $A \cup B$. On the Venn d... show full transcript

Worked Solution & Example Answer:On the Venn diagram below, shade in the region that represents $A \cap B$ - Junior Cycle Mathematics - Question 2 - 2015

Step 1

On the Venn diagram below, shade in the region that represents $A \cap B$.

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Answer

To shade the region representing ABA \cap B, identify the overlapping area between sets A and B. This region reflects the elements that are common to both sets.

Step 2

On the Venn diagram below, shade in the region that represents $A \cup B$.

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Answer

For the region representing ABA \cup B, shade the entire area that includes both sets A and B. This means shading all elements in A, all elements in B, and the overlapping section as well.

Step 3

On the Venn diagram below, shade in the region that represents $(A \cup B) \setminus (A \cap B)$.

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Answer

To shade the region for (AB)(AB)(A \cup B) \setminus (A \cap B), shade all areas of sets A and B except for the overlapping part. This represents all unique elements that are either in A or in B, but not in both.

Step 4

Put a tick (✓) in the correct box to show which of the following represents the elements that are in $A$ but not in $B$.

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Answer

The correct option is ABA \setminus B, as it signifies the elements that are contained in set A while being excluded from set B. Therefore, tick the box next to ABA \setminus B.

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