Question

finish by graphing the solution to the inequality.
-5n≥40
n≤-8
(number line from -10 to -3 with ticks at -10, -9, -8, -7, -6, -5, -4, -3)

Explanation:

Step1: Analyze the inequality solution

The solution to the inequality \(-5n \geq 40\) is \(n \leq -8\). This means we need to represent all real numbers less than or equal to -8 on the number line.

Step2: Mark the point on the number line

Locate -8 on the number line. Since the inequality is "less than or equal to", we use a closed (filled - in) circle at -8 to indicate that -8 is included in the solution set.

Step3: Draw the arrow

Draw an arrow to the left of -8 to indicate all the numbers less than -8 (since \(n\) can be any number less than or equal to -8).

Graph Description:

• Place a closed circle at -8 on the number line.
• Draw an arrow starting from the closed circle at -8 and extending to the left (towards more negative numbers) to represent all values of \(n\) such that \(n \leq -8\).

Answer:

Step1: Analyze the inequality solution

The solution to the inequality \(-5n \geq 40\) is \(n \leq -8\). This means we need to represent all real numbers less than or equal to -8 on the number line.

Step2: Mark the point on the number line

Locate -8 on the number line. Since the inequality is "less than or equal to", we use a closed (filled - in) circle at -8 to indicate that -8 is included in the solution set.

Step3: Draw the arrow

Draw an arrow to the left of -8 to indicate all the numbers less than -8 (since \(n\) can be any number less than or equal to -8).

Graph Description:

• Place a closed circle at -8 on the number line.
• Draw an arrow starting from the closed circle at -8 and extending to the left (towards more negative numbers) to represent all values of \(n\) such that \(n \leq -8\).