Option D: (6,18) is the right answer
Step-by-step explanation:
Given inequality is a compound inequality.
the method for solving compound inequality is to break it into two simple inequalities.
Given inequality is:
[tex]8 < x + 2 < 20[/tex]
the inequalities will be:
[tex]x+2>8\ \ \ And\ \ \ x+2<20\\x+2-2<8-2\ \ \ , \ \ \ x+2-2<20-2\\x>8\ \ \ , \ \ \ x<18[/tex]
The solution is: 6<x<18
In interval notation it is: (6, 18)
Hence,
Option D: (6,18) is the right answer
Keywords: Inequalities, variables
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