Question

graph the solution set of the inequality on a number line and then write it in interval notation. {x|x<3} select the correct graph below a. -10 0 3 10 b. -10 -3 0 10 c. -10 0 3 10 d. -10 0 3 10

Explanation:

Step1: Understand the inequality

The inequality is \(x < 3\), which means all real - numbers less than 3.

Step2: Analyze the number - line representation

On a number line, for \(x < 3\), we use an open circle at 3 (because 3 is not included in the solution set) and an arrow pointing to the left to represent all the numbers less than 3.

Step3: Determine the correct graph

Option D has an open circle at 3 and an arrow pointing to the left.

Step4: Write in interval notation

The interval notation for \(x < 3\) is \((-\infty,3)\).

Answer:

D. (The number - line with an open circle at 3 and an arrow pointing to the left), \((-\infty,3)\)