Final answer:
The question deals with how to graph inequalities on a number line in mathematics, by choosing the correct symbols to represent the type of inequality and depicting the range of solutions on the number line.
Step-by-step explanation:
The subject in question relates to graphing inequalities on a number line, which is a concept in mathematics. Specifically, it discusses how to use visual tools to represent inequalities using closed or open circles (closed for '≤' or '≥', and open for '<' or '>'), and how to draw lines or arrows to show the range of values included in the inequality.
To create this graph on a number line, you first determine whether the inequality is strict ('<' or '>') or non-strict ('≤' or '≥'). Use an open circle for strict inequalities and a closed circle for non-strict inequalities. After placing the circle on the number line at the appropriate value, draw a line or an arrow extending in the direction that satisfies the inequality, making sure to cover all possible values.To represent an inequality symbol on a number line, you use open or closed dots depending on whether the symbol is < or > (open) or ≤ or ≥ (closed). Then, you plot the corresponding value on the number line and draw a line or arrow to indicate the direction of the inequality.For example, if the inequality is x > 3, you would use an open dot at 3 on the number line and draw an arrow to the right. If the inequality is x ≤ 2, you would use a closed dot at 2 and draw a line to the left.