Solving One-Step Inequalities

This video tutorial covers solving one-step inequalities, emphasizing the importance of flipping the inequality sign when multiplying or dividing by a negative number. It includes examples of solving and graphing inequalities, practice problems, and a real-world application involving budgeting for gum purchases. The tutorial concludes with a review of key concepts and encourages students to revisit sections if needed.

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

• Subtract 1 from it

• Flip it

• Add 1 to it

• Leave it unchanged

Solve the inequality: x - 5 > -3. What is the solution?

• x > 2

• x < -8

• x < 2

• x > -8

When graphing the inequality x > 2, what type of circle should be used on the number line?

• Open circle

• Closed circle

• No circle

• Shaded circle

Solve the inequality: x + 9 ≥ 5. What is the solution?

• x ≤ 14

• x ≤ -4

• x ≥ -4

• x ≥ 14

Solve the inequality: x / 4 < -5. What is the solution?

• x < -20

• x > 20

• x > -20

• x < 20

When solving the inequality x / -6 ≤ 7, what must you do to the inequality sign?

• Add 1 to it

• Flip it

• Subtract 1 from it

• Leave it unchanged

Solve the inequality: x / -6 ≤ 7. What is the solution?

• x ≤ 42

• x ≥ -42

• x ≥ 42

• x ≤ -42

Rewrite the inequality 9 > x + 7 with the variable on the left side.

• x > -2

• x > 2

• x < -2

• x < 2

Solve the inequality: -3x > -24. What is the solution?

• x < -8

• x > 8

• x < 8

• x > -8

If you have at most $10 and each piece of gum costs $0.15, how many pieces of gum can you buy?

• 68

• 67

• 66

• 69