Answered

Get the most out of your questions with IDNLearn.com's extensive resources. Discover in-depth answers to your questions from our community of experienced professionals.

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 :

GinnyAnsweridn
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.
We are happy to have you as part of our community. Keep asking, answering, and sharing your insights. Together, we can create a valuable knowledge resource. Find reliable answers at IDNLearn.com. Thanks for stopping by, and come back for more trustworthy solutions.