Question

A={x:x e N,x<10} B={x:x is a prime number and x x<10},then show that A-B not equal B-A with the help of venn diagram.​

Answer 1

Answer:

please refer to the attachment

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Answer 2

Answer:

A - B ≠ B - A is proved.

Step-by-step explanation:

Consider the given sets as follows:

A = {x : x∈N, x < 10}

B = {x : x is a prime number and x < 10}

Step 1 of 3

Roaster form of set A is,

A = {$1, 2, 3, 4, 5, 6, 7, 8, 9$}

Roaster form of set B is,

B = {$2, 3, 5, 7$}

Step 2 of 3

Computing $A - B$ and $B-A$.

$A - B$ = {$1, 4, 6, 8, 9$}

$B - A$ = ∅

Notice that,

A∩B = {2, 3, 5, 7}

Step 3 of 3

To prove: $A - B \neq B - A$.

Clearly, $A-B$ contains 5 elements.

And $B-A$ is empty set.

Thus, $A - B \neq B - A$.

Hence proved.

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