Solve Pre-Calc Interval Inequalities | Basic Tutorial

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The discussion revolves around solving interval inequalities in pre-calculus, specifically expressing intervals using inequalities and sketching them. The user is confused about notation, particularly regarding square roots, and seeks clarification on intervals like [-3, -1] and the meaning of brackets versus parentheses. It's noted that the user may not have received prior instruction on these concepts, which are often covered in Algebra 2. The correct interpretation of intervals is emphasized, with examples provided to illustrate open and closed intervals. Understanding these foundational concepts is crucial for progressing in pre-calculus.
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i just started pre-calc, we were not taught anything and yet given an assignment. i am sure these are very basic and perhaps dumb problems to be stuck on, but i don't get what to do.

"express the interval using inequalities, and give a sketch of the numbers in the interval."

1) [-3,-1]

2) [*rad*5, -*rad*2]

there is more, but if someone can just explain what i do that'd be great!
 
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yes i do, didn't know how to make that
 
andrea1 said:
yes i do, didn't know how to make that

To see the code used to make that, just click on it.
 
Did your teacher explain to you what the brackets mean vs. parenthesis, and talk about the difference between open and closed intervals?
Your teacher might be assuming you covered these topics in algebra 2 and this is just review.
 
[-3, -1] is -3<= x<= -1.

Did your text actually have "*rad*" or did you choose that as a way of writing
\[sqrt{5},-\sqrt{2}]? Well, even if you did, it would make no sense: \sqrt{5} is NOT less than -\sqrt{2}. If the original problem was [-\sqrt{5},-\sqrt{2}] then that is -\sqrt{5}&amp;lt;= x&amp;lt;= -\sqrt{2}.