Consider three decision problems P1, P2 and P3. It is known

Consider three decision problems P₁, P₂ and P₃. It is known that P₁ is decidable and P₂ is undecidable. Which one of the following is true?

1. P₃ is decidable if P₁ is reducible to P₃
2. P₃ is undecidable if P₃ is reducible to P₂
3. P₃is undecidable if P₂ is reducible to P₃
4. P₃ is decidable if P₃ is reducible to P₂ 's complement

According to the option, P₂ is reducible to P₃.
Also it gives that P₂ is undecidable.
From (a) and (b); P₃ is undecidable.