The author supports her claim that writers should "go to writers' workshops" (sentence 1) by assessing whether workshops can improve writers' ability to judge their own works.
A supported claim is known to be any kind of statement of truth that is known to have some element of evidence that depicts or tell the audience that the statement is true or valid.
Hence for the author to be able to convince the writers about the importance of workshop, the author supported the claim by assessing whether workshops can improve writers' ability to judge their own works.
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