Question

graph the inequality below on the number line.\\(x<10\\)

Explanation:

Step1: Determine the type of dot

Since the inequality is \( x < 10 \) (not \( x \leq 10 \)), we use an open circle (hollow dot) at \( x = 10 \) to show that 10 is not included in the solution set.

Step2: Draw the arrow direction

For \( x < 10 \), the solutions are all numbers less than 10. So we draw an arrow starting from the open circle at 10 and pointing to the left (towards negative infinity) on the number line.

Answer:

1. Place an open circle (hollow dot) on the number line at the position corresponding to \( x = 10 \).
2. Draw an arrow starting from this open circle and extending to the left (towards smaller numbers) to represent all values of \( x \) that are less than 10.