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2 answers:
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Answer with Step-by-step explanation:
S={0,1,2,3,4,5,6,7,8,9}
A={0,2,4,6,8}
B={1,3,5,7,9}
C={0,1,2,3,4}
D={5,6,7,8,9}
a.A'=S-A
A'={0,1,2,3,4,5,6,7,8,9}-{0,2,4,6,8}
A'={1,3,5,7,9}
b.C'=S-C
C'={0,1,2,3,4,5,6,7,8,9}-{0,1,2,3,4}
C'={5,6,7,8,9}
c.D'=S-D
D'={0,1,2,3,4,5,6,7,8,9}-{5,6,7,8,9}
D'={0,1,2,3,4}
d.{0,2,4,6,8}
{1,3,5,7,9}
{0,1,2,3,4,5,6,7,8,9}=S
e.={0,2,4,6,8}
{0,1,2,3,4}
={0,1,2,3,4,6,8}
f.={0,2,4,6,8}
{5,6,7,8,9}
={0,2,4,5,6,7,8,9}
We need to leave m alone on the right hand side, so let's move everything else to the left hand side.
First of all, we can subtract b from both sides to get
Now, we can divide both sides by c to get
And so we solved the expression for m, because we have written an expression in the form , where the right hand side doesn't depend on m.