Solving and Graphing Two Step Inequalities | 7.EE.B.4

This video tutorial covers solving 2-step inequalities, emphasizing the importance of handling inequality signs correctly. It includes examples with parentheses, negative division, and complex fractions, demonstrating how to solve and graph solutions. The tutorial concludes with a real-world word problem involving a cave explorer, illustrating the application of inequalities in practical scenarios.

What is the first step in solving the inequality 3P + 2 ≥ -10?

• Multiply both sides by 3

• Add 2 to both sides

• Divide both sides by 3

• Subtract 2 from both sides

After solving the inequality 3P + 2 ≥ -10, what is the solution for P?

• P ≥ -4

• P > -4

• P < -4

• P ≤ -4

When solving 5(g + 4) > 15, what is the first step?

• Divide both sides by 5

• Add 4 to both sides

• Subtract 4 from both sides

• Distribute the 5

What is the solution for G in the inequality 5(g + 4) > 15?

• G ≥ -1

• G ≤ -1

• G > -1

• G < -1

What happens to the inequality sign when you multiply or divide by a negative number?

• It stays the same

• It flips direction

• It becomes an equal sign

• It becomes a greater than sign

What is the solution for B in the inequality b / -3 + 4 < 13?

• B > -27

• B ≤ -27

• B ≥ -27

• B < -27

In the inequality 2 > 8 - (4/3)H, what is the first step to isolate H?

• Add 8 to both sides

• Subtract 8 from both sides

• Divide by 4/3

• Multiply by 4/3

What is the solution for H in the inequality 2 > 8 - (4/3)H?

• H ≥ 4.5

• H ≤ 4.5

• H > 4.5

• H < 4.5

In the cave explorer problem, what inequality represents the explorer's movement?

• -38 + 12M > -200

• -38 + 12M < -200

• -38 - 12M < -200

• -38 - 12M > -200

How long will it take the cave explorer to reach an elevation deeper than -200 feet?

• More than 12.5 minutes

• More than 13.5 minutes

• More than 14.5 minutes

• More than 15.5 minutes