Decide whether the argument is valid or a fallacy, and give the form that applies.

If my clothes don't fit, then I'll need new clothes.

If Upper I need new clothes, then I'll go buy some new clothes.

If my clothes don't fit, then I'll go buy some new clothes.

Question content area bottom

Part 1

Let p be the statement

"my clothes don't fit,"

q be the statement

"I'll need new clothes,"

and r be the statement

"I'll go buy some new clothes."

The argument is

valid

a fallacy

by

a. left bracket left parenthesis p logical or q right parenthesis logical and tilde p right bracket right arrow q ,

b. left bracket left parenthesis p right arrow q right parenthesis logical and p right bracket right arrow q ,

c. left bracket left parenthesis p right arrow q right parenthesis logical and q right bracket right arrow p ,

d. left bracket left parenthesis p right arrow q right parenthesis logical and tilde q right bracket right arrow tilde p ,

e. left bracket left parenthesis p right arrow q right parenthesis logical and tilde p right bracket right arrow tilde q ,

f. left bracket left parenthesis p right arrow q right parenthesis logical and left parenthesis q right arrow r right parenthesis right bracket right arrow g. left parenthesis p right arrow r right parenthesis ,

or

a. disjunctive syllogism.

b. fallacy of the converse.

c. modus ponens.

d. fallacy of the inverse.

e. reasoning by transitivity.

f. modus tollens.