Exploring One Step Inequalities

The video tutorial covers solving and graphing one-step inequalities. It emphasizes the importance of flipping the inequality sign when multiplying or dividing by a negative number. The tutorial provides step-by-step instructions for solving inequalities and graphing their solutions on a number line. Multiple examples are given to illustrate the process, highlighting the concept of multiple solutions in inequalities.

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

• Flip the direction of the inequality sign

• Add a positive number to both sides

• Keep the inequality sign the same

• Subtract a positive number from both sides

What is the inverse operation of adding 4?

• Dividing by 4

• Adding 4

• Subtracting 4

• Multiplying by 4

In the inequality Q + 4 < 5, what is the solution for Q?

• Q ≤ 1

• Q = 1

• Q > 1

• Q < 1

When graphing the inequality Q < 1, what type of circle should be used at 1?

• No circle

• Open circle

• Closed circle

• Shaded circle

Which direction should you shade on the number line for the inequality Q < 1?

• To the left of 1

• To the right of 1

• Both directions

• No shading

In the inequality Y - 11 > 7, what is the solution for Y?

• Y = 18

• Y < 18

• Y > 18

• Y ≤ 18

For the inequality X - 3 ≤ 15, what is the solution for X?

• X < 18

• X ≤ 18

• X ≥ 18

• X = 18

When solving the inequality M/3 ≤ 5, what operation should be performed?

• Add 3 to both sides

• Subtract 3 from both sides

• Multiply both sides by 3

• Divide both sides by 3

What happens to the inequality sign when you divide both sides by a negative number?

• It stays the same

• It disappears

• It becomes an equal sign

• It flips direction

In the inequality -2P ≥ 6, what is the solution for P?

• P > -3

• P = -3

• P ≤ -3

• P ≥ -3