Question

practice
write the inequality that each graph represents.
1.
2.
3.
4.
(the number lines and related text for each problem are as shown in the image, including instructions about inequalities on number lines and practice problems to write inequalities from number line graphs.)

Explanation:

Problem 1:

Step1: Identify the critical point

The open circle is at 10, so the inequality does not include 10.

Step2: Determine the direction of shading

The shading is to the left of 10, which means the values are less than 10.

Step1: Identify the critical point

The open circle is at 5, so the inequality does not include 5.

Step2: Determine the direction of shading

The shading is to the right of 5, which means the values are greater than 5.

Step1: Identify the critical point

The closed circle is at 3, so the inequality includes 3.

Step2: Determine the direction of shading

The shading is to the right of 3, which means the values are greater than or equal to 3.

Answer:

\( x < 10 \)

Problem 2: