How do you represent linear inequalities on a number line?
Answer (1)
To graph a linear inequality on a number line, first solve for the variable as if it were an equation. Then, graph a number line and put the critical point. If the inequality is strict (less than or greater than), put an open circle (?) there because the value is not included. If it is inclusive (less than or equal to or greater than or equal to), put a closed circle (?) there because the value is included. Then, shade the number line to the left for less than ( <, ≤ ) and to the right for greater than ( >, ≥ ). This is a form of visually representing the solution set.
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