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Question
18 solve the inequality. (a) $n + 3>2$ (b) graph the inequality.
Step1: Isolate the variable $n$.
Subtract 3 from both sides of $n + 3>2$.
$n+3 - 3>2 - 3$
Step2: Simplify the inequality.
$n>-1$
For graphing, since $n$ is strictly greater than $-1$ (not equal to $-1$), we use an open - circle at $-1$ and shade the region to the right of $-1$ on the number - line to represent all values of $n$ that satisfy the inequality.
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(a) $n > - 1$
(b) On the number - line, draw an open circle at $-1$ and shade the line to the right of $-1$.