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Decide, among the following sets, which ...


Decide, among the following sets, which sets are subsets of one and another:
A = { `x : x in R` and x satisfy `x^2 – 8x + 12 = 0` }, B = { 2, 4, 6 }, C = { 2, 4, 6, 8, . . . }, D = { 6 }.

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To determine which sets are subsets of one another among the given sets A, B, C, and D, we will first express set A in roster form and then analyze the relationships between the sets. ### Step 1: Determine the elements of set A Set A is defined as: \[ A = \{ x : x \in \mathbb{R} \text{ and } x^2 - 8x + 12 = 0 \} \] To find the elements of set A, we need to solve the quadratic equation: \[ x^2 - 8x + 12 = 0 \] ...
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