Dividing a Negative across an Inequality

The video tutorial explains how to solve multi-step inequalities, emphasizing the importance of handling negative numbers correctly. It demonstrates that solving inequalities is similar to solving equations, except when multiplying or dividing by a negative number, which requires flipping the inequality sign. The tutorial provides a detailed example, showing each step in solving an inequality, including distributing, dividing, and flipping the sign. The final solution is presented, reinforcing the key concepts discussed.

What is a key difference between solving equations and inequalities?

• You always add numbers in inequalities.

• You must flip the inequality sign when multiplying or dividing by a negative number.

• Inequalities do not require any operations.

• Equations and inequalities are solved in the same way.

When dividing both sides of an inequality by a negative number, what must you remember to do?

• Multiply both sides by a positive number.

• Flip the inequality sign.

• Subtract the same number from both sides.

• Add the same number to both sides.

What happens to the inequality sign when you multiply or divide by a negative number?

• It stays the same.

• It becomes an equal sign.

• It disappears.

• It flips direction.

In the final step of solving the inequality, what operation is performed?

• Dividing both sides by 3.

• Multiplying both sides by 3.

• Adding 3 to both sides.

• Subtracting 3 from both sides.

What is the final solution to the inequality problem discussed?

• X is not equal to 13.

• X is less than 13.

• X is equal to 13.

• X is greater than 13.