ITPEC FE Morning April 2023 Question 1
ITPEC FE Morning April 2023 — Question 1 of 80
Set Operations & Venn Diagrams — identify the shaded region for a union of intersections/complements.
Break down (A ∩ C̄) ∪ (A ∩ B̄ ∩ C) ∪ (Ā ∩ B ∩ C):
- •
A ∩ C̄— everything in A that is NOT in C (covers: only-A, A∩B-not-C) - •
A ∩ B̄ ∩ C— in A and C, but NOT in B (covers: A∩C-not-B) - •
Ā ∩ B ∩ C— in B and C, but NOT in A (covers: B∩C-not-A)
Shaded regions:
- All of A except A ∩ B ∩ C (the triple-overlap stays white)
- B ∩ C excluding A
Why not others:
- (a) — does not shade A ∩ B region or B ∩ C region correctly
- (b) — shades only some intersections; most of A is white
- (c) — shades only A − (B ∪ C); missing other regions
Key rule: Break each term into Venn regions using a truth-table approach (8 regions for 3 sets). Check each region against every term — if any term includes it, shade it.
AI-generated — may contain errors
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