Graphing Inequalities on a Number Line

What type of circle is used to represent an inequality that does not include the number itself?

• No circle

• Open circle

• Closed circle

• Dotted circle

If 'x < 2', in which direction should the line be shaded on the number line?

• No shading needed

• Towards the right

• Towards the left

• Towards the center

For the inequality 'x ≥ 2', what type of circle is used at the point 2?

• Open circle

• Closed circle

• Dotted circle

• No circle

When graphing 'x > 5', where is the open circle placed?

• At 5

• At 4

• No circle is placed

• At 6

In the inequality 'x ≤ 0', towards which direction is the shading done?

• No shading is done

• Towards the positive numbers

• Towards zero

• Towards the negative numbers

What does a closed circle at '0.5' indicate in the inequality 'x ≥ 0.5'?

• Only 0.5 is included

• 0.5 is not included in the solution

• None of the above

• 0.5 is possibly included in the solution

If the graph shows shading towards the left from '-4', which could be the correct inequality?

• x ≤ -4

• x ≥ -4

• x < -4

• x > -4

What does an open circle at '-6' signify in the graph?

• Only -6 is the solution

• -6 is not included in the solution

• None of the above

• -6 is included in the solution

If the graph is shaded towards the higher numbers from '1', what is the inequality?

• x < 1

• x ≥ 1

• x > 1

• x ≤ 1

For a graph with an open circle at '1.5' shaded towards '1', what is the correct inequality?

• x ≥ 1.5

• x ≤ 1.5

• x > 1.5

• x < 1.5