Question

F.M.. 50
nswer the following questions:
(1) M.C.Q
5x1=5
(i) If A={1,3} ,B ={3,5} and C={5,10}
then Ax(BUC) is
(a) (3,5),(3,10) (b) (1,5),(1,10) (c)
(1,3),(1,5) (d) (3,3),(3,5)​

Answer 1

$\large\sf\underline{\:Given}$

• $\sf\:A\:={(1,3)}$

• $\sf\:B\:={(3,5)}$

• $\sf\:C\:={(5,10)}$

$\large\sf\underline{To\:find}$

• $\sf\:A \times ( B ∪ C )$

$\large\sf\underline{\:Solution}$

$\sf\:First\:lets\:find\:B ∪ C$

$\sf \:B ∪ C$

$\sf= \: ({3 , 5}) U ({5 , 10})$

$\sf= \: {(3 , 5 , 10)}$

$\tt\pink{\:So \: A \times ( B ∪ C )}$

$\sf= \: {(1 , 3)} \times {(3 , 5 , 10)}$

$\sf= \:{(1 , 3) (1 , 5) (1 , 10) (3 , 3) (3 , 5) (3 , 10) }$

⠀⠀━━━━━ ★ ━━━━━

$\large\fbox\red{Know \: more}$

• Union - A∪B means every elements which are either in A oR B.

• The Cartesian product of two sets A and B, denoted A × B, is the set of all possible ordered pairs where the elements of A are first and the elements of B are second.

• Thnku ❣