What you've posted in an inequality (which is almost-certainly not formatted correctly; see previous response). "The problem" is the inequality, plus the instructions. Would it be correct to assume that the instructions were to "solve the inequality"? So the first exercise is as follows?

. . . . .[tex]\mbox{Solve: }\, \dfrac{x\, +\, 3}{x\, -\, 1}\, \geq\, 0[/tex]

Who told you that "infinity" was a number, like "2", rather than a destination (something like "going onwards forever in that direction"), that "infinity"

*could* be included in any interval?

Your book provides no examples for solving rational inequalities? Ouch!

Unfortunately, it is not reasonably feasible to attempt to provide here the days or weeks of instruction that you're needing. Instead, you'll need to attempt online self-study (or else hire a qualified local tutor) to learn the standard terms and techniques. For instance,

__here__ and

__here__ have explanations, followed by worked examples. Please study the lessons at

*both* of these links (or at

*at least two other* online lessons) before attempting the above-posted exercises. If you get stuck, you can then reply with a clear listing of your starting steps, continuing on to whatever point at which you got stuck.

Thank you!

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