Given that:
- a and b= a-b
- a and b but c= a+c-b
- a or b=b-a
- a but not b=a+b
Now the value of:
1 or (2 but not (3 or (4 and 5 but (6 but not (7 and (8 or 9))))))
$\implies$ 1 or (2 but not (3 or (4 and 5 but (6 but not (7 and (9-8))))))
$\implies$ 1 or (2 but not (3 or (4 and 5 but (6 but not (7 and 1)))))
$\implies$ 1 or (2 but not (3 or (4 and 5 but (6 but not (7 -1)))))
$\implies$ 1 or (2 but not (3 or (4 and 5 but (6 but not 6))))
$\implies$ 1 or (2 but not (3 or (4 and 5 but (6+ 6))))
$\implies$ 1 or (2 but not (3 or (4 and 5 but 12)))
$\implies$ 1 or (2 but not (3 or (4+12-5)))
$\implies$ 1 or (2 but not (3 or 11))
$\implies$ 1 or (2 but not (11-3))
$\implies$ 1 or (2 but not 8)
$\implies$ 1 or (8+2)
$\implies$ 1 or 10
$\implies 10-1=9$
So option (A) is correct.