Which inequality is shown on this number line?
1 answer:
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Answer: (a) {0,1}; (b) {0,1, 2}; (c) {0,1}; (d) {0, 1, 2}
Step-by-step explanation: Defining the sets A,B and C:
A = {0,1}; B = {0, 1, 2, 3}; C = {-1, 0, 1, 2}
(a) A ∩ B ∩ C = {0, 1}, because it represents the intersection of the sets, the items that appears in all the three sets.
(b) A ∪ (B ∩ C) = {0, 1} ∪ {0, 1, 2} = {0, 1, 2}. In this case, it represents the union of the sets A with the intersection of sets B and C.
The (c) and (d) are a combination between union and intersection of the sets.
The Venn Diagrams are the representations of the sets and their interactions and are represented in the attachments
