Determine whether the argument is correct or incorrect and explain why:

If I finish my homework then l$\text{'}$ll eat ice cream or l$\text{'}$ll eat a brownie.

I eat a brownie with ice cream on top.

Therefore, I finished my homework.

The argument is incorrect.

Let $h$ : I finish my homework

$i$ : I eat ice cream

b: I eat a brownie

$(1)h(ivvb)$

premise in sentence $1$

$(2)i^{{?}^{?}}b$

premise in sentence $2$

$(3)i$

simplification from $(2)$

$(4)$ ivvb

addition from $(3)$

$(5)h$

fallacy of affirming the conclusion

${}_{\text{c}\text{o}\text{n}\text{c}\text{l}\text{u}\text{s}\text{i}\text{o}\text{n}}$

vsing $(1)$ and $(4).$

Please make it look like example above

Determine whether the argument is correct or incorrect. Explain why by assigning

propositional variables and using rules of inference, logical equivalencies, or fallacies.

If I work hard, I'll get a promotion.

If I get a promotion then I'll buy a car.

I did not work hard.

Therefore, I must not have bought a car.