Determine if the argument is valid or invalid

Let
P: "it is cold"
Q: "you need a coat"

The first statement is therefore
P → Q

The second part has been written in two separate statements, 昨, 星.

If we can assume it to be related as "It is not cold, therefore you do not need a coat", or
昨 → 星, then you can take one of the given choices, using the following help:

law of detachment:
(P∧Q) ∧ P => Q

law of contraposition:
(P → Q) ≡ (昨 → 星)

converse of P → Q:
Q → P

inverse of P → Q:
星 → 昨

law of syllogism (transitivity):
(P → Q) ∧ (Q → R) => (P → R)


disjunctive syllogism:
[P → (Q ∨ R)] ∧ 昱 => (P → Q)