Westonci.ca is your go-to source for answers, with a community ready to provide accurate and timely information. Our Q&A platform provides quick and trustworthy answers to your questions from experienced professionals in different areas of expertise. Connect with a community of professionals ready to help you find accurate solutions to your questions quickly and efficiently.

|2n+5|>/9 solve for n?

Sagot :

[tex]|2n+5|\geq9\\ 2n+5\geq 9 \vee 2n+5\leq-9\\ 2n\geq4 \vee 2n\leq-14\\ n\geq2 \vee n\leq-7\\ n\in(-\infty,-7\rangle\cup\langle2,\infty)[/tex]
[tex]|2n+5|\geq9\iff2n+5\geq9\ or\ 2n+5\leq-9\ \ \ |subtract\ 5\ from\ both\ sides\\\\2n\geq4\ or\ 2n\leq-14\ \ \ \ \ |divide\ both\ sides\ by\ 2\\\\\boxed{n\geq2\ or\ n\leq-7}\\\\Answer:\boxed{\boxed{n\in(-\infty;-7]\ \cup\ [2;\ \infty)}}[/tex]