BECE Mathematics 2017 Paper

Concept:Union of sets combines every distinct element from both sets.Explanation:Check each option using set definitions.For option A, $A \subset B$ means every element of $A$ is in $B$.But $2 \in A$ and $2 \notin B$, so this is false.For option B, $A \cap B$ means elements common to both sets.Common elements are only $6$ and $8$, so $A \cap B = \{6,8\}$, not $\{2,6,8\}$.For option C, $A \cup B$ lists all distinct elements from both sets in ascending order.Thus $A \cup B = \{2,4,6,8,10\}$, which is true.For option D, $A \supset B$ means every element of $B$ is in $A$.But $4 \notin A$ and $10 \notin A$, so this is false.Answer:C. $\;\; A \cup B = \{2,4,6,8,10\}$