**Given U = {x: x is a positive integer less than 15}**

**and P = {x: x is even number from 1 to 14},**

**find the complement of P**

**A. {1, 3, 5, 7, 9, 11, 13, 15}****B. {2, 3, 5, 7, 9, 11, 13}****C. {1, 3, 5, 7, 9, 11, 13}****D. {2, 3, 5, 7, 11, 15}**

**QUICK ANSWER…**

**C**

**SOLUTION****… **** **

**The complement of a set is another set containing the element(s) which are present in the universal set, but absent in the set.**

**Or, complement of a set is another set containing elements which when added to the original set makes it equal to the universal set.**

**So, from the question,**

**The universal set U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14}**

**A sub-set P = {2, 4, 6, 8, 10, 12, 14}**

**Therefore, complement of P = {1, 3, 5, 7, 9, 11, 13}**

**Now for the right answer to the above question:**

**Option A is incorrect. x is less than 15, not equal to 15.****Option B is incorrect. 2 is present in set P. also, 1 is missing here.****C is correct.****D is not the correct answer. 2 and 15 are wrong entries.**

**KEY-POINTS…**

**You may please note the****se/this****:**

**The elements in the universal set is less than, and not equal to 15.****The complement of a set is simply another set that when added to it, makes it equal to the universal set.****The complement of a set can be imagined as another set that completes it and makes it equal to the universal set.**

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**/ culled from 2016 JAMB-UTME mathematics past question 20 /**