Question

let A={x\x is on even number x<15},B={x\xis a point ,x<10} then find 1.anb 2.aub 3.a-b 4.b-a​

Answer 1

Answer:

$\huge{ \tt \: GIVEN : - }$

A={x\x is on even number x<15}

And

B={x\x is a point ,x<10}

$\huge{ \tt \: SOLUTION : - }$

A={x\x is on even number x<15}

A = (2 ,4 ,6 ,8 ,10, 12, 14)

and

B={x\x is a point ,x<10}

B= ( 1, 2, 3 ,4 ,5 ,6 ,7 ,8 ,9 ,10)

Now

Case (i)

$\sf \: A \cup B$

$\large \boxed{ \sf Note : - }$

$\sf \cup : - \: union \: means \: all \: the \: elements \: which \\ \: \: \sf \: are \:same \: as \: well \: as \: dffer \: take \: it.$

$\sf \: A \cup B \: = (1, 2, 3 ,4 ,5 ,6 ,7 ,8 ,9 ,10,12, 14)$

$\sf \cap: - \: intersection\: means \: only \:same \: element .$

$\sf \: A \cap B \: = ( 2,4 ,6 ,8 ,10, )$

$\sf \: A - B\: = it \: means \: vanish \: the \: term \: of \:B \: from \: A$

$\sf \: A - B \: = (10,12, 14)$

LAST.

$\sf \: B - A\: = it \: means \: vanish \: the \: term \: of \:A \: from \: B$

$\sf \: B - A\: = (1, 3 ,5 ,7 ,9 )$

Thank you.