Question

if A={1,2,3,4,5}, B{1,3,5,8},C={2,5,7,8} verify that A-(B union C)=(A-B) intersection (A-C)

Answer 1

Answer:

Step By Step:

Answer 2

Answer:

A-(B union C)=(A-B) intersection (A-C).

Step-by-step explanation:

Given: $A=\{1,2,3,4,5\}, B=\{1,3,5,8\}, C=\{2,5,7,8\}$

To verify: A-(B union C)=(A-B) intersection (A-C)

The negative sign between two sets gives the difference between two sets.

$B union C=\{1,2,3,5,7,8\}, A-B=\{2,4\}, A-C=\{1,3,4\}$

$A-(B union C)=\{\} [ null set] \\(A-B) intersection (A-C)=\{\} [ null set]$

Hence verified i.e; both sets are equal i.e; A-(B union C)=(A-B) intersection (A-C).

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