On the Venn diagram below, shade in the region that represents $A \cap B$ - Junior Cycle Mathematics - Question 2 - 2014
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 - 2014
Step 1
Shade in the region that represents $A \cap B$
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Answer
To represent A∩B, shade the overlapping area of circles A and B in the Venn diagram. This area signifies the elements common to both sets A and B.
Step 2
Shade in the region that represents $A \cup B$
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Answer
For the union of A and B, A∪B, shade the entire area covered by both circles A and B, including the intersection. This indicates all elements present in either set A, set B, or in both.
Step 3
Shade in the region that represents $(A \cup B) \setminus (A \cap B)$
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Answer
To depict (A∪B)∖(A∩B), shade the parts of circles A and B excluding the overlapping section. This represents all elements in either set A or set B, but not those that are common to 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
Among the options:
B \ A: Incorrect, this shows elements in B but not in A.
A + B: Incorrect, this represents all elements in both A and B.
A \ B: Correct, this shows elements that are in A but not in B. Therefore, put a tick (✓) in the box for A \ B.
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