Question

solve the linear inequality for n and graph the answer in the number line. then write the solution in inequality notation.
1 > n - 2
show your work here
hint: to add infinity (∞), type \infinity\
solution:

Explanation:

Step1: Isolate the variable

Add \(2\) to both sides of the inequality \(1>n - 2\).
$$1+2>n-2 + 2$$

Step2: Simplify the inequality

Simplify the left - hand side \(1 + 2=3\) and the right - hand side \(n-2 + 2=n\). So, \(3>n\), which can be rewritten as \(n<3\).

Answer:

The solution in inequality notation is \(n < 3\). To graph this on a number line:

• Place an open circle at \(n = 3\) (because \(n\) is not equal to \(3\), as the inequality is strict).
• Shade the line to the left of \(3\) (since \(n\) is less than \(3\)).