Question

graph the solution set of the inequality on a number line and then write it in interval notation. {x|x < 5} select the correct graph below. now type the solution in interval notation.

Explanation:

Step1: Analyze the inequality

The inequality is \(x < 5\). This means all real - numbers less than 5 are in the solution set.

Step2: Determine the graph

On a number line, for \(x < 5\), we use an open circle at \(x = 5\) (because 5 is not included in the solution set) and draw an arrow to the left to represent all the values less than 5.

Step3: Write in interval notation

The interval notation for \(x < 5\) is \((-\infty,5)\).

Answer:

The correct graph is the one with an open circle at 5 and an arrow pointing to the left. The solution in interval notation is \((-\infty,5)\)