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}
For this case we have:
: Let the variable representing the first odd number
: Let the variable representing the consecutive odd number at x.
According to the statement we have:
We found the solution by factoring:
We look for two numbers that, when multiplied, result in -63 and when added, result in 2. These numbers are +9 and -7.
Thus, we have:
Therefore the solutions are:
We choose the positive value, so we have:
Answer:
The largest number is 9