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Learn how to graph inequalities on a number line using symbols (≥, ≤, >, <) and examples. Use the interactive grapher to experiment with different types of inequalities and number lines.
16 Αυγ 2023 · On a number line, the symbol “greater than or equal to” (denoted as ≥) signifies that a number, located at a particular point, is either greater than another specific number or exactly equal to it.
When we are looking at inequalities on a number line, we use open and closed circles to represent the values: for greater than (>) and less than (<) we use open circles to show that the value itself is not included. for greater than or equal to (≥) and less than or equal to (≤) we use closed circles to show that the value itself is included.
24 Σεπ 2024 · Step One: Determine whether the circle will be open or closed and plot it on the number line (< or > will be open; ≥ or ≤ will be closed). In this example, the inequality sign is ≥ (greater than or equal to), so our circle will be closed. The graph of the inequality x ≥ 0 will have a closed circle.
18 Ιαν 2024 · To graph compound inequalities on a number line, you need to: Solve the inequalities, i.e., transform them into, e.g., x ≥ a. Find the value from the first inequality on the number line. Draw a line from that point upwards and to the: Left for < and ≤, or; Right for > and ≥. When going with the line up, draw it:
In algebra, the inequality will refer to a number, or range of numbers, which are either greater than, greater than or equal to, less than, or less than or equal to a fixed value. This can be shown on a number line using lines and circles.
The direction of the inequality sign shows if the solution set is ‘greater than’ or ‘less than’. This can be confused when both sides of the inequality are switched. For example, x > 8 is the same as 8 < x . In both, x is greater than 8 as the inequality sign is open towards the x.
