A={2,4,6,8} in rule method
Answer (1)
Using the rule method, a set is defined by a property or rule that its elements satisfy.Given the set:[tex]A = \{2, 4, 6, 8\}[/tex]In rule method, this can be written as:[tex]A = \{ x \mid x \text{ is an even number between 1 and 9} \}[/tex]This means the set A contains all elements [tex]x[/tex] such that [tex]x[/tex] is an even number between 1 and 9 (which are 2, 4, 6, and 8).Alternatively, you could specify the rule more mathematically:[tex]A = \{ x \mid x = 2n, n \in \mathbb{Z}, 1 \leq n \leq 4 \}[/tex]This means [tex]x[/tex] is twice an integer [tex]n[/tex], where [tex]n[/tex] ranges from 1 to 4.
