Question

max correctly solved this inequality.

\\( \frac { a } { - 5 } \geq 10 \\)

\\( a \leq - 50 \\)

which graph matches the inequality?

Explanation:

Step1: Analyze the inequality symbol

The inequality \(a\leq - 50\) has a “\(\leq\)” symbol. This means the value \(-50\) is included in the solution set. On a number - line, a closed circle is used to represent a value that is included in the solution set.

Step2: Analyze the direction of the inequality

Since \(a\) is less than or equal to \(-50\), the graph should extend to the left (towards smaller numbers) from \(-50\) on the number - line.

Answer:

The second option (the graph with a closed circle at \(-50\) and the arrow pointing to the left) is the correct graph for the inequality \(a\leq - 50\).