Graphing Inequalities Explained

The video tutorial covers graphing inequalities, starting with an introduction to the concept and essential questions. It explains the use of open and closed circles to represent inequalities on a number line. The tutorial provides step-by-step instructions for graphing inequalities and includes several examples to illustrate the process. The session concludes with practice problems to reinforce the learning.

What does a closed circle on a graph indicate about the solution?

• The number is not included in the solution set.

• The number is included in the solution set.

• The solution set is infinite.

• The solution set is empty.

When graphing 'W < 6', in which direction do we shade the number line?

• Both sides of 6

• To the left of 6

• To the right of 6

• Do not shade

For the inequality 'G > 2', why do we use an open circle at 2?

• To indicate no solutions.

• To indicate an infinite number of solutions.

• 2 is not included in the solution set.

• 2 is included in the solution set.

How do we represent 'Y ≤ 13' on a graph?

• Closed circle at 13, shade to the right.

• Open circle at 13, shade to the left.

• Closed circle at 13, shade to the left.

• Open circle at 13, shade to the right.

If 'M ≥ -7', which direction do we shade on the graph?

• To the left of -7

• To the right of -7

• Both sides of -7

• Do not shade

What does an open circle at 4 and shading to the left represent?

• X > 4

• X ≤ 4

• X ≥ 4

• X < 4

For 'X > -3', where do we place the circle and how do we shade?

• Closed circle at -3, shade to the right.

• Open circle at -3, shade to the right.

• Closed circle at -3, shade to the left.

• Open circle at -3, shade to the left.

How is 'W > 1' graphically represented?

• Open circle at 1, shade to the left.

• Closed circle at 1, shade to the right.

• Open circle at 1, shade to the right.

• Closed circle at 1, shade to the left.

What does shading to the left of a number on a graph typically indicate?

• The variable has no relation to the number.

• The variable is equal to the number.

• The variable is less than the number.

• The variable is greater than the number.

In the context of graphing inequalities, what purpose does the arrowhead serve?

• Marks the end of the solution set.

• Indicates the direction of shading.

• Highlights the exact solution.

• Signifies the beginning of the graph.