Answered

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Fill the blank with either [tex]\in[/tex] or [tex]\notin[/tex] to make the statement true.

[tex]\[ 5 \_\{4, 6, 8, 9\} \][/tex]

Select the correct choice below and, if necessary, fill in the answer box to complete your choice.

A. The [tex]\notin[/tex] symbol should be used because 5 is not an element of the set.

B. The [tex]\in[/tex] symbol should be used because [tex]\{4, 6, 8, 9\}[/tex] and 5 are equal sets.

C. The [tex]\notin[/tex] symbol should be used because [tex]\{4, 6, 8, 9\}[/tex] is a set and none of the elements in 5 is a set.

D. The [tex]\in[/tex] symbol should be used because 5 is an element of the set.

E. The [tex]\in[/tex] symbol should be used because [tex] \ldots[/tex]

F. The [tex]\notin[/tex] symbol should be used because [tex] \ldots[/tex]

Sagot :

GinnyAnswer
Sure! Let's analyze the given problem step-by-step:

1. The problem provides a set of elements: [tex]\(\{4, 6, 8, 9\}\)[/tex].
2. It asks about the membership of the element [tex]\(5\)[/tex] in this set.
3. We need to determine whether 5 is an element of the set [tex]\(\{4, 6, 8, 9\}\)[/tex] and fill in the blank accordingly.

Let's see each choice:

Choice A: The symbol should be used because 5 is not an element of the set.

Choice B: The symbol ∈ should be used because [tex]\(\{4, 6, 8, 9\}\)[/tex] and 5 are equal sets.
- This option is not valid because [tex]\(\{4, 6, 8, 9\}\)[/tex] and [tex]\(5\)[/tex] are not sets, let alone equal sets.

Choice C: The symbol ∉ should be used because [tex]\(\{4, 6, 8, 9\}\)[/tex] is a set and none of the elements in 5 is a s...
- This option doesn't make sense due to incomplete reasoning and misinterpretation of sets and elements.

Choice D: The symbol ∉ should be used because 5 is not an element of the set.
- This matches our need to show that 5 is not within the set [tex]\(\{4, 6, 8, 9\}\)[/tex].

Choice E: The symbol ∈ should be used because ...
- The statement is incomplete and thus unsuitable.

Choice F: The symbol ∈ should be used because 5 is an element of the set.
- This is incorrect because 5 is not one of the elements in [tex]\(\{4, 6, 8, 9\}\)[/tex].

Given our analysis, the correct answer is:

Choice A: The symbol ∉ should be used because 5 is not an element of the set.

So, we choose option A.
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