Graphing Inequalities and Solutions

This video tutorial explains how to solve inequalities using addition or subtraction. It covers two examples: solving the inequality a - 4 ≥ 1 and graphing the solution, and solving a + 10 < 9 with its graph. The tutorial emphasizes the importance of performing the same operation on both sides of the inequality and explains how to represent solutions on a number line with open or closed circles.

What is the primary method used in this video to solve inequalities?

• Addition or Subtraction

• Factoring

• Multiplication or Division

• Graphing

In the inequality a - 4 ≥ 1, what is the first step to isolate 'a'?

• Subtract 4 from both sides

• Multiply both sides by 4

• Divide both sides by 4

• Add 4 to both sides

After solving the inequality a - 4 ≥ 1, what is the value of 'a'?

• a ≤ 1

• a ≤ 3

• a ≥ 3

• a ≥ 1

How is the solution of a - 4 ≥ 1 represented on a graph?

• Open circle at 3, shading to the left

• Closed circle at 3, shading to the right

• Closed circle at 3, shading to the left

• Open circle at 3, shading to the right

What type of circle is used to represent the solution of a - 4 ≥ 1 on a graph?

• Dashed circle

• Closed circle

• No circle

• Open circle

In the inequality a + 10 < 9, what operation is performed to isolate 'a'?

• Subtract 10 from both sides

• Multiply both sides by 10

• Add 10 to both sides

• Divide both sides by 10

What is the solution to the inequality a + 10 < 9?

• a ≥ 1

• a ≤ 1

• a > 1

• a < 1

How is the solution of a + 10 < 9 represented on a graph?

• Open circle at -1, shading to the left

• Open circle at -1, shading to the right

• Closed circle at -1, shading to the left

• Closed circle at -1, shading to the right

What type of circle is used to represent the solution of a + 10 < 9 on a graph?

• Open circle

• Closed circle

• Dashed circle

• No circle

What does shading to the left of a point on a number line indicate?

• Values not equal to the point

• Values equal to the point

• Values less than the point

• Values greater than the point