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solve the inequality and graph the solution. \\( \\frac { n } { 4 } \\l…

Question

solve the inequality and graph the solution.

\\( \frac { n } { 4 } \leq - 1 \\)

to draw a ray, plot an endpoint and select an arrow. select an endpoint to change it from closed to open. select the middle of the ray to delete it.

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Explanation:

Step1: Multiply both sides by 4

$$\frac{n}{4}\times4\leq - 1\times4$$

Step2: Simplify

$$n\leq - 4$$

Answer:

The solution of the inequality is \(n\leq - 4\). On the number - line, we plot a closed circle at \(-4\) (because the inequality includes equality, i.e., \(n = - 4\) is part of the solution) and draw an arrow to the left (since \(n\) is less than or equal to \(-4\)).