How to Write Inequalities from Number Lines?

Step 1: Identify the endpoints of the number line:

Step 2: Write the inequality symbol:

Step 3: Determine the direction of the inequality:

Step 4: Combine the symbols:

Writing Inequalities from Number Lines – Examples 1

Solution:

Writing Inequalities from Number Lines – Examples 2

What inequality does this number line show?

Solution:

In this example, the endpoint is an open circle at \(3\), and the number line extends to the left. This means that the inequality is \(“x < 3″\).

Exercises for Writing Inequalities from Number Lines

What inequality does each number line show?

1.

2.

3.

1. \(\color{blue}{x\le 15}\)
2. \(\color{blue}{x>-7}\)
3. \(\color{blue}{x\ge \frac{3}{5}}\)

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