On the Venn diagram below, shade in the region that represents $A \cap B$ - Junior Cycle Mathematics - Question 2 - 2015
Question 2
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 A∩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 A∪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 (A∪B)∖(A∩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 A∖B, as it signifies the elements that are contained in set A while being excluded from set B. Therefore, tick the box next to A∖B.
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