Msaada basic maths, anayeweza kuprove fomula hizi

Msaada basic maths, anayeweza kuprove fomula hizi

n(AUB)=n(A)+n(B)-n(AnB)
hence proved...
Let A=1,2,3
n(A)=3______________eqn(1)

B =3,4,5
n(B)=3________________eqn(2)

AnB=3

n(AnB)=1_________________eqn(3)

AUB=1,2,3,4,5

n(AUB)=5______________________eqn(4)

From
n(AUB)=n(A)+n(B)-n(AnB)______________eqn ******


then insert eqns ,1,2,3,and 4 into star star eqn ****


Hence
5=3+3-1
5=5
Since LHS=RHS Hence shown
 
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