Solving One-Step Inequalities: Multiplication and Division Techniques

This video tutorial teaches how to solve one-step inequalities using multiplication and division. It covers solving inequalities like x/6 ≤ 3, 5g > 20, T/8 < -2, and -7y ≤ 35, and explains how to graph these solutions on a number line. The tutorial emphasizes the importance of flipping the inequality sign when multiplying or dividing by a negative number.

What is the first step in solving the inequality x/6 ≤ 3?

• Multiply both sides by 6

• Subtract 6 from both sides

• Divide both sides by 6

• Add 6 to both sides

What does a closed circle on the number line at 18 indicate in the inequality x ≤ 18?

• 18 is not included in the solution

• 18 is included in the solution

• No specific indication

• The solution is greater than 18

How do you solve the inequality 5g > 20?

• Subtract 5 from both sides

• Divide both sides by 5

• Multiply both sides by 5

• Add 5 to both sides

What does an open circle at 4 on the number line signify in the inequality g > 4?

• The solution is less than 4

• 4 is included in the solution

• 4 is not included in the solution

• The solution is exactly 4

What is the correct solution for the inequality T/8 < -2 after isolating T?

• T > -16

• T > 16

• T < 16

• T < -16

When dividing by a negative number in an inequality, what must you do to the inequality sign?

• Change to an equal sign

• Remove the sign

• Keep the sign the same

• Flip the sign

What is the result of solving the inequality -7y ≤ 35?

• y ≤ 5

• y ≥ 5

• y ≥ -5

• y ≤ -5

What does the closed circle at -5 indicate in the inequality y ≥ -5?

• The solution is less than -5

• -5 is not included in the solution

• -5 is included in the solution

• The solution is exactly -5

Why is it important to flip the inequality sign when dividing by a negative number?

• To correctly represent the relationship between variables

• Because it's a mathematical rule without reason

• To maintain the balance of the equation

• To simplify the equation

What should you do after solving an inequality to check your understanding?

• Graph the solution on a number line

• Solve another similar inequality

• Discuss with a peer

• All of the above