given: universal set u = { 3, 4, 6, 7, 8, 9, 10, 12 } subset b = { 3, 6, 7, 8, 9 } what is the complement of…

given: universal set u = { 3, 4, 6, 7, 8, 9, 10, 12 } subset b = { 3, 6, 7, 8, 9 } what is the complement of set b in set u? answer {3,4,6,7,8,9,10,12} {3,6,7,8,9} {3,4,6,7,8,10} {4,10,12}

given: universal set u = { 3, 4, 6, 7, 8, 9, 10, 12 } subset b = { 3, 6, 7, 8, 9 } what is the complement of set b in set u? answer {3,4,6,7,8,9,10,12} {3,6,7,8,9} {3,4,6,7,8,10} {4,10,12}

Answer

Explanation:

Step1: Recall complement definition

The complement of a set ( B ) (denoted ( B' )) in universal set ( U ) is the set of all elements in ( U ) that are not in ( B ).

Step2: Identify elements in ( U ) not in ( B )

Given ( U = {3, 4, 6, 7, 8, 9, 10, 12} ) and ( B = {3, 6, 7, 8, 9} ).
Elements in ( U ) but not in ( B ): ( 4, 10, 12 ).

Answer:

({4, 10, 12}) (corresponding to the option: ({4,10,12}))