Mastering Two Step Inequalities

The video tutorial covers solving two-step inequalities, similar to two-step equations, with a focus on reversing the inequality symbol when multiplying or dividing by a negative number. It includes three examples: a basic two-step inequality, an inequality involving negative division, and a real-world problem involving a scuba diver's depth. Each example is solved step-by-step, with explanations on graphing the solutions.

What must you do to the inequality symbol when you multiply or divide by a negative number?

• Leave it unchanged

• Subtract 1 from it

• Reverse it

• Add 1 to it

In Example 1, what is the first step to solve the inequality 5x - 4 ≤ 11?

• Subtract 4

• Add 4

• Divide by 5

• Multiply by 5

After adding 4 to both sides in Example 1, what is the resulting inequality?

• 5x ≤ 7

• 5x ≥ 7

• 5x ≥ 15

• 5x ≤ 15

What is the final solution for x in Example 1?

• x ≥ 5

• x ≤ 5

• x ≥ 3

• x ≤ 3

In Example 2, what is the first step to solve the inequality b / -3 + 4 < 13?

• Subtract 4

• Multiply by -3

• Divide by -3

• Add 4

What must you do to the inequality symbol when you multiply both sides by -3 in Example 2?

• Reverse it

• Leave it unchanged

• Subtract 1 from it

• Add 1 to it

What is the final solution for b in Example 2?

• b ≤ -27

• b < -27

• b > -27

• b ≥ -27

In Example 3, what is the initial elevation of the scuba diver?

• -38 feet

• -12 feet

• -162 feet

• -200 feet

What is the inequality representing the scuba diver's descent?

• -38 - 12m < -200

• -38 + 12m < -200

• -38 + 12m > -200

• -38 - 12m > -200

How many minutes will it take for the scuba diver to reach an elevation deeper than -200 feet?

• 14.5 minutes

• 15.5 minutes

• 13.5 minutes

• 12.5 minutes