Graphing and Solving Two-Step Inequalities

This video tutorial covers how to graph and solve two-step inequalities. It begins with an introduction to inequalities, explaining the difference between open and closed circles on a graph. The tutorial provides examples of graphing inequalities on a number line and explains the steps to solve two-step inequalities, emphasizing the importance of flipping the inequality symbol when multiplying or dividing by a negative number. The video includes practice problems to reinforce the concepts taught.

What does an open circle on a graph indicate?

• The solution is positive

• The solution is zero

• The solution is not included

• The solution is included

If the arrow on a graph points to the right, what does it signify?

• The solution is less than the value

• The solution is equal to the value

• The solution is not included

• The solution is greater than the value

What is the first step in solving a two-step inequality?

• Identify the variable

• Identify the constant and do the inverse operation

• Graph the inequality

• Multiply both sides by a negative number

When solving the inequality 2X + 4 ≥ 24, what is the value of X?

• X ≥ 10

• X < 10

• X ≤ 10

• X > 10

What must you do when you multiply or divide both sides of an inequality by a negative number?

• Subtract a positive number from both sides

• Flip the inequality symbol

• Keep the inequality symbol the same

• Add a positive number to both sides

In the inequality M / -3 - 3 ≤ -6, what is the value of M?

• M ≥ 9

• M ≤ 9

• M > 9

• M < 9

What is the solution to the inequality -3P - 3 ≤ -18?

• P < 5

• P > 5

• P ≤ 5

• P ≥ 5

In the inequality -4X > 40, what is the value of X?

• X > -10

• X < -10

• X ≥ -10

• X ≤ -10

What is the solution to the inequality -B > 10?

• B ≥ -10

• B < -10

• B > -10

• B ≤ -10

In the inequality 2/3N < 2, what is the value of N?

• N ≤ 3

• N ≥ 3

• N > 3

• N < 3