Solving a compound inequality - Free math help

The video tutorial explains how to solve compound inequalities by addressing each inequality separately. It emphasizes the importance of flipping the inequality sign when multiplying or dividing by a negative number. The tutorial also covers graphing these inequalities on a number line, highlighting the significance of closed and open dots to represent inclusive and exclusive values. Finally, it discusses how to interpret the graph to understand the range of solutions for the compound inequality.

What must you remember to do when dividing or multiplying both sides of an inequality by a negative number?

• Add the same number to both sides

• Subtract the same number from both sides

• Flip the inequality sign

• Keep the inequality sign the same

When solving the second inequality, what is the first step you should take?

• Add 12 to both sides

• Subtract 12 from both sides

• Divide both sides by 5

• Multiply both sides by 5

How do you represent the solution of a compound inequality on a number line?

• By drawing a single line

• By using open and closed dots

• By marking the points of intersection

• By shading the entire number line

What does a closed dot on a number line indicate?

• The inequality is not strict

• The inequality is strict

• The number is part of the solution

• The number is not part of the solution

In the context of graphing inequalities, what does it mean if a number is to the right of another number on the number line?

• It is not comparable to the other number

• It is less than the other number

• It is equal to the other number

• It is greater than the other number