Solving Inequalities Concepts

This video tutorial covers solving inequalities by multiplying or dividing. It begins with a review of section 26, highlighting a small change in approach. The tutorial then demonstrates solving inequalities using multiplication and division, emphasizing the importance of flipping the inequality symbol when multiplying or dividing by a negative number. The video concludes with a reminder to check solutions by substituting them back into the original inequality.

What is the primary goal when solving inequalities?

• To find the value of the variable

• To eliminate all numbers

• To make both sides equal

• To simplify the equation

What is the first step in solving an inequality?

• Subtract a constant

• Multiply by zero

• Find the variable

• Add a constant

What operation is used to isolate the variable in the inequality 5m < 40?

• Division

• Addition

• Subtraction

• Multiplication

In the inequality 5m = 40, what operation is used to solve for m?

• Multiplication

• Addition

• Subtraction

• Division

What is the result of dividing both sides of an inequality by a positive number?

• The inequality sign flips

• The inequality sign stays the same

• The inequality disappears

• The inequality becomes an equation

What is the solution to the inequality 5m < 40?

• m < 8

• m ≤ 8

• m > 8

• m = 8

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

• Multiply by a positive number

• Flip the inequality sign

• Add a constant to both sides

• Subtract a constant from both sides

What happens to the inequality sign when you multiply both sides by a negative number?

• It stays the same

• It flips

• It becomes an equal sign

• It disappears

What is the importance of flipping the inequality sign when dividing by a negative number?

• To maintain the inequality's truth

• To simplify the equation

• To eliminate the variable

• To make both sides equal

In the inequality -3x < 12, what is the solution for x?

• x > -4

• x < -4

• x > 4

• x < 4