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For diagrams (i) and (ii) below, shade in the named region - Junior Cycle Mathematics - Question a (i) - 2013
Question a (i)
For diagrams (i) and (ii) below, shade in the named region. (i) A ∩ B ∩ C (ii) (A ∩ B)\C
Worked Solution & Example Answer:For diagrams (i) and (ii) below, shade in the named region - Junior Cycle Mathematics - Question a (i) - 2013
Step 1
Shade the region A ∩ B ∩ C
Answer
In diagram (i), to shade the region A ∩ B ∩ C, identify the overlapping area where sets A, B, and C intersect. This area is typically represented in the middle of the Venn diagram where all three circles overlap. Shade that specific area to visually represent the intersection of all three sets.
Step 2
Shade the region (A ∩ B)\C
Answer
For diagram (ii), the region to shade is (A ∩ B)\C. Here, first identify the intersection A ∩ B, which is the area where circles A and B overlap. From that shaded area, exclude the part that overlaps with circle C. Therefore, shade the region of overlap between A and B, but do not shade the area where this overlap also intersects with C.