P Q and R are subsets of the universal set U. the Venn diagram showing the relationship (P n Q) U R is
The union of R means the whole of R is to be shaded,
The intersection of P and Q means only the portion of intersection is to be shaded.
Combining the two gives option C.
Now for the right answer to the above question:
- Option A is incorrect. The set notation for this is simply P
- Option B is incorrect. The set notation for this is simply (P n Q) U (P n R)
- C is correct.
- D is not the correct answer. The set notation here is (P n R) U Q
You may please note these/this:
- Intersecting set contains common elements while union means direct combination.
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/ culled from 2015 JAMB-UTME mathematics past question 46 /