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Grade 21 Algebra II
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Equations and Inequalities -Conjunctions and Disjunctions
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Question: State whether the expression 'The set of multiples of 8 and the set of natural numbers' represents an intersection or union of sets.
A ) intersection
B ) union
Steps to derive
1
Let A represent the set of multiples of 5. So, A = {......- 16, - 8, 0, 8, 16, 24,.......}
2
Let B represent the set of natural numbers. So, B = {1, 2, 3, 4, 5,.......}
3
The solution set of a conjunction is the intersection of the solution sets of the individual sentences that form the conjunction.
4
The expression represents an intersection.
5
The solution set is A
∩
B = {8, 16, 24, ......}.
Hence the right answer is Option A
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