Question

graph the solution set. (-∞, -5) ∪ (0,5) use the tools to enter your answer. webassign numberline

Explanation:

Step1: Understand the interval notation

The notation \((-\infty, - 5)\cup(0,5)\) represents two intervals. The first interval \((-\infty,-5)\) includes all real numbers less than \(-5\). The second interval \((0,5)\) includes all real numbers greater than \(0\) and less than \(5\).

Step2: Graph the intervals

• For the interval \((-\infty,-5)\):
• Place an open circle at \(-5\) (since \(-5\) is not included in the interval).
• Draw an arrow to the left to represent all numbers less than \(-5\).
• For the interval \((0,5)\):
• Place an open circle at \(0\) (since \(0\) is not included in the interval).
• Place an open circle at \(5\) (since \(5\) is not included in the interval).
• Draw a line segment between \(0\) and \(5\).

Answer:

Graph with an open circle at \(-5\) and an arrow to the left for \((-\infty,-5)\), and open circles at \(0\) and \(5\) with a line segment between them for \((0,5)\).