Some health care workers don't make much money; and some people who don't make much money have to work a second job. So, some health care workers have to work a second job. But health care workers should be paid better if some of them have a second job. Which means health care workers should be paid better, since some of them do have a second job. Don't you think it follows?
No
HINT: An Argument by Elimination seeks to logically rule out various possibilities until only a single possibility remains. This italicized argument neither articulates multiple options nor eliminates any specific option (i.e., Claims it's false).
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