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The minimum you need to know about the compound inequalities is THIS:
To solve the compound inequality, you need to solve each of the two inequalities SEPARATELY
AND then take the intersection of the two domain solutions.
For some examples, see these links
https://www.algebra.com/algebra/homework/Inequalities/Inequalities.faq.question.1090821.html
https://www.algebra.com/algebra/homework/Graphs/Graphs.faq.question.1090271.html