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