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MATHEMATICS

JAMB 2017 - Question 14

Mathematics 2017 JAMB Past Questions - Question 14: Given T = {even numbers fro 1 to 12} N = {common factors of 6,8,and 12} find TnN

Given T = {even numbers fro 1 to 12} N = {common factors of 6,8,and 12} find TnN

A: {2,3}

B: {2,3,4}

C: {3,4,6}

D: {2}

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Correct Answer

Explanation

Common fators of 6,8,126= 2x38 = 2x2x212 = 2x2x3 = 2T= 2,4,6,10,12TnN = {2}The set T represents the even numbers from 1 to 12, which are {2, 4, 6, 8, 10, 12}. The set N represents the common factors of 6, 8, and 12, which are {1, 2}.The intersection of sets T and N, denoted as T ∩ N, represents the elements that are common to both sets. In this case, the common elements between T and N are {2}.Therefore, T ∩ N = {2}.