Solving One and Two Step Inequalities Challenge

The video tutorial covers solving one and two-step inequalities using addition, subtraction, multiplication, and division. It explains the concept of equivalent inequalities and the importance of flipping the inequality sign when multiplying or dividing by a negative number. The tutorial includes examples and graphing solutions, as well as application problems to demonstrate real-world uses of inequalities.

What is an equivalent inequality?

• An inequality with only positive solutions

• An inequality with different solutions

• An inequality with no solutions

• An inequality with the same solutions

How do you solve the inequality X - 3 < 5?

• Subtract 3 from both sides

• Add 3 to both sides

• Multiply both sides by 3

• Divide both sides by 3

When solving inequalities using multiplication or division, what must you remember to do when dealing with a negative number?

• Add the negative number to both sides

• Subtract the negative number from both sides

• Flip the inequality sign

• Keep the inequality sign the same

What is the solution to the inequality -2X > 6?

• X < -3

• X > -3

• X > 3

• X < 3

How do you solve the inequality R/3 > -4?

• Divide both sides by 3

• Divide both sides by -3

• Multiply both sides by 3

• Multiply both sides by -3

What is the solution to the inequality 2X ≥ 4?

• X > 2

• X ≥ 2

• X < 2

• X ≤ 2

When solving two-step inequalities, what must you do if you multiply or divide by a negative number?

• Keep the inequality sign the same

• Flip the inequality sign

• Subtract the negative number from both sides

• Add the negative number to both sides

What is the solution to the inequality -3n + 4 ≥ 16?

• n > -4

• n < -4

• n ≥ -4

• n ≤ -4

In the application problem, how many calendars must the students sell to earn more than $327?

• More than 40

• More than 100

• More than 327

• More than 818

How many hours must you work to earn at least $100 if you earn $6.15 per hour?

• At least 10 hours

• At least 15 hours

• At least 17 hours

• At least 20 hours