Math Algebra • Inequalities
Graph inequalities on a number line, including simple, chained, and compound inequalities. Get interval notation, open/closed endpoint rules, a clickable number line, and step-by-step solving.
First solve the inequality for x. Then place the boundary point on the number line. Use an open circle for < or >, a closed circle for <= or >=, and shade the values that satisfy the inequality.
Subtract 1 from all three parts to get -4 <= 2x < 6. Divide by 2 to get -2 <= x < 3, so the interval notation is [-2, 3).
AND means intersection, so only overlapping values are kept. OR means union, so values satisfying either inequality are kept.
Use an open circle when the endpoint is not included, usually with strict inequalities < or >.
Use a closed circle when the endpoint is included, usually with <=, >=, or =.
Yes. It supports compound inequalities with AND and OR, including separated solution intervals.
Yes. Clicking the number line places a test value and tells you whether it is inside or outside the solution set.
Yes. You can drag to pan, use the mouse wheel or trackpad to zoom, or use the graph control buttons.