Morgana
Answered

Get reliable answers to your questions at Westonci.ca, where our knowledgeable community is always ready to help. Get the answers you need quickly and accurately from a dedicated community of experts on our Q&A platform. Explore comprehensive solutions to your questions from a wide range of professionals on our user-friendly platform.

can someone help?

 If 3∈A and 3B, then which of the following statements is not true?


A: 3 is an element of B complement.
B: 3 is an element of A∪B.
C: 3 is an element of A∩B.

Sagot :

[tex]3\in A\ \wedge\ 3\notin B\ then:\\\\A\ is\ true\\\\B\ is\ true\\\\B\ is\ not\ true\ because\ if\ 3\in A\ \wedge\ 3\notin B\ then\ 3\in A\ \wedge\ 3\in B[/tex]

Answer:

Option A and C are not true.

Step-by-step explanation:

As shown in Venn diagram attached

A. 3∉B which states 3 is the element which doesn't belong to B so this option is not true.

B. 3∈(A∪B)

Since 3∈A and 3∉B therefore 3∈(A∪B)

Statement is true.

C. 3∈A and 3∉B so 3∉(A∩B) because 3 is not the common element of A∩B.

Therefore this option is not true.

Therefore Options A and C are not true.

View image eudora
Thanks for using our platform. We're always here to provide accurate and up-to-date answers to all your queries. We hope our answers were useful. Return anytime for more information and answers to any other questions you have. Thank you for visiting Westonci.ca, your go-to source for reliable answers. Come back soon for more expert insights.