Question

If A={1,2,3,4},B={3,4,9,11} (A∩B) is​

Answer 1

Answer:

{3, 4}

Step-by-step explanation:

(AΠB)= { 1,2,3,4}Π{3,4,9,11}

= {3,4} and

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Answer 2

$\underline\mathfrak\red{here's \: your \: answer ♡}$

Given sets are A={ 1,2,3,4 } and B={ 1,5,9,11,15,16 }

f={ ( 1,5 ),( 2,9 ),( 3,1 ),( 4,5 ),( 2,11 ) }

(i)The first elements of the function f are 1,2,3,4 and they belong to set A .

The second elements from the function f are 5,9,1,11 and they belong to set B .

Moreover, f is a subset of A×B .

Thus, f defines a relation from A to B .

(II) A relation from A to B is called a function if its domain is A and no element of A has a different image in B.

The above function f( x ) has ( 2,9 ) and ( 2,11 ) , where 2 has different images..

Therefore, f is not a function from A to B .