Mastering One Step Inequalities: Multiplication and Division

The video tutorial covers solving inequalities involving division and multiplication. It explains how to isolate the variable by performing the opposite operation, such as multiplying when dividing and vice versa. The tutorial also discusses graphing solutions on a number line and emphasizes the importance of flipping the inequality sign when dividing or multiplying by a negative number. Key examples are provided to illustrate these concepts, and the video concludes with a summary of the rules for handling inequalities with negative numbers.

What is the first step to isolate X in the inequality X/2 < 4?

• Subtract 2 from both sides

• Add 2 to both sides

• Multiply both sides by 2

• Divide both sides by 2

On a number line, how is the solution to X < 8 represented?

• A solid dot at 8 and shading to the right

• An open dot at 8 and shading to the left

• An open dot at 8 and shading to the right

• A solid dot at 8 and shading to the left

What operation should be performed to solve the inequality 2X ≥ 6?

• Multiply both sides by 2

• Subtract 2 from both sides

• Divide both sides by 2

• Add 2 to both sides

How is the solution to 2X ≥ 6 represented on a number line?

• An open dot at 3 and shading to the left

• An open dot at 3 and shading to the right

• A solid dot at 3 and shading to the right

• A solid dot at 3 and shading to the left

What is the solution to the inequality X/5 > -2?

• X > -10

• X < -10

• X < 10

• X > 10

How is the solution to X/5 > -2 represented on a number line?

• An open dot at -10 and shading to the right

• A solid dot at -10 and shading to the left

• An open dot at -10 and shading to the left

• A solid dot at -10 and shading to the right

What must be done to the inequality sign when dividing both sides by a negative number?

• Subtract a negative sign from both sides

• Keep the inequality sign the same

• Flip the inequality sign

• Add a negative sign to both sides

What is the solution to the inequality -3X < 12 after flipping the inequality sign?

• X < -4

• X > -4

• X < 4

• X > 4

What is the general rule when multiplying or dividing by a negative number in an inequality?

• Keep the inequality sign the same

• Flip the inequality sign

• Subtract a negative sign from both sides

• Add a negative sign to both sides

What is the solution to the inequality X/-4 ≤ 3 after applying the general rule?

• X ≥ -12

• X ≤ -12

• X ≤ 12

• X ≥ 12