Inequality number line

Inequalities are drawn on a number line: a filled circle includes the end point (≤, ≥), an open circle leaves it out (<, >), and the arrow shows all the other solutions.

x ≥ −2Inequality number line

📐 Formula

x ≥ a: filled circle at a, arrow right; x < a: open circle at a, arrow left

✏️ Worked example

x ≥ −2: a filled circle at −2 with the line shaded to the right.

🌍 Where it is used

Showing age limits, height requirements and allowed ranges.

❓ Quick check

An open circle at 3 with an arrow to the left shows…

🏋️ Practice

EasyDraw x > 1.

Answer: Open circle at 1, arrow right

MediumWhich integers satisfy −1 ≤ x < 3?

Answer: −1, 0, 1, 2

ChallengeWrite the inequality: filled circle at 4, arrow left.

Answer: x ≤ 4