Question
Download Solution PDFThe union of the two sets A = {1, 2, 7, 9, 12} and B = {x : x2 - 10x + 16 = 0} is:
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFConcept:
Union of sets:
Let A and B be two sets.
The union of A and B is the set of all those elements which belong to either A or B or both A and B.
The union of A and B is denoted by A ∪ B.
i.e A ∪ B = {x : x ∈ A or x ∈ B}
The Venn diagram for union of any two sets is shown below:
Calculation:
Set A = {1, 2, 7, 9, 12}
x2 - 10x + 16 = 0
x2 - 2x - 8x + 16 = 0
(x - 2)(x - 8) = 0
x = 2, 8
Set B = {2, 8}
∴ Set (A ∪ B) = {1, 2, 7, 8, 9, 12}
Last updated on Jun 20, 2025
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