Solving Inequalities with Multiplication and Division

This video tutorial covers solving inequalities using multiplication and division. It highlights the key difference between solving equations and inequalities: reversing the inequality symbol when multiplying or dividing by a negative number. The tutorial provides four examples, demonstrating how to handle both positive and negative numbers in multiplication and division scenarios. Each example illustrates the process of isolating the variable and adjusting the inequality symbol as needed.

What is the key difference when solving inequalities using multiplication and division compared to equations?

• There is no difference.

• You must reverse the inequality symbol when using a negative number.

• You must always add values instead of multiplying.

• You need to use only whole numbers.

If you multiply both sides of an inequality by -3 and the original inequality was 'm / -3 > 3', what is the resulting inequality?

• m > -9

• m < -9

• m = -9

• m > 9

What should you do to solve an inequality where the variable is divided by a negative number?

• Subtract the same number from both sides.

• Divide both sides by the positive equivalent.

• Multiply both sides by the negative number and reverse the symbol.

• Add the same number to both sides.

In the context of inequalities, what does it mean to 'undo' an operation?

• To check the result with a calculator.

• To repeat the same operation.

• To ignore the previous steps.

• To perform the opposite mathematical operation.

When multiplying both sides of 'n / 6 > 7' by 6, what is the correct inequality?

• n > 42

• n = 42

• n < 42

• n < 7

If an inequality does not involve multiplying or dividing by a negative number, what happens to the inequality symbol?

• It doubles.

• It disappears.

• It remains unchanged.

• It reverses.

What happens to the inequality symbol when dividing both sides by a negative number?

• It becomes an equality.

• It remains the same.

• It is removed.

• It is reversed.

In the inequality '-10T ≥ 34', what is T after dividing both sides by -10?

• T ≥ -3.4

• T = -3.4

• T > -3.4

• T ≤ -3.4

What is the result of the inequality '18 * Y < 72' after dividing both sides by 18?

• Y > 4

• Y < 4

• Y = 4

• Y ≤ 4

When dividing by a positive number in an inequality, what rule must be followed regarding the inequality symbol?

• Never reverse the symbol.

• Remove the symbol entirely.

• Always reverse the symbol.

• Convert the symbol to an equal sign.