If A- x-x- N-x-6 and B- x-x- N-3-x-8 - then show that A-B B-A with the help of Venn diagram-

Write the above sets in roster form #160;We have, A={1,2,3,4,5} and B ={4,5,6,7} From Ven diagram, A B={1,2,3} and B A={6,7} Clearly ...

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Standard XII

Mathematics

Venn Diagram

If A= x:x∈ ...

Question

If $A = {x : x \in N, x < 6}$ and $B = {x : x \in N, 3 < x < 8}$ , then show that $A - B \neq B - A$ with the help of Venn diagram.

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Solution

Write the above sets in roster form
We have, $A = {1, 2, 3, 4, 5}$ and $B = {4, 5, 6, 7}$
From Ven-diagram, $A - B = {1, 2, 3}$ and $B - A = {6, 7}$

Clearly $A - B \neq B - A$

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If A={x:x∈N,x<6} and B={x:x∈N,3<x<8}, then show that A−B≠B−A with the help of Venn diagram.

Write the above sets in roster form We have, A={1,2,3,4,5} and B={4,5,6,7}From Ven-diagram, A−B={1,2,3} and B−A={6,7}Clearly A−B≠B−A

If $A = {x : x \in N, x < 6}$ and $B = {x : x \in N, 3 < x < 8}$ , then show that $A - B \neq B - A$ with the help of Venn diagram.

Write the above sets in roster form
We have, $A = {1, 2, 3, 4, 5}$ and $B = {4, 5, 6, 7}$
From Ven-diagram, $A - B = {1, 2, 3}$ and $B - A = {6, 7}$

Clearly $A - B \neq B - A$