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(1) Going on a diet is rarely the solution for people who want to lose weight. (2) For example, only 15 percent of people who lost weight through dieting kept their post diet weight a year later.
Which sentence(s) is/are the argument's premise(s)?
Sentence 1 is the argument's conclusion. It is an opinion of the author, which can be challenged and needs to be proven by use of hard evidence such as the premise in sentence 2.
Every argument must include a premise. There are arguments without a conclusion but not arguments without a premise.
Sentence 1 is the argument's conclusion. It is an inference the argument's author made.
While it is true that there are arguments that consist of premises only, without a conclusion, this argument is not one of them.