Solving Inequalities

This video tutorial explains how to solve inequalities, emphasizing their similarity to solving equations. It highlights the importance of handling negative variables correctly by changing the direction of the inequality when multiplying or dividing by a negative number. The video provides practical examples and exercises to reinforce learning, concluding with tips and a reminder to treat inequalities like equations, with special attention to negative variables.

Which of the following scenarios best illustrates the use of inequalities in real life?

• Calculating the exact time to reach a destination.

• Determining the maximum speed allowed on a highway.

• Measuring the exact amount of ingredients for a recipe.

• Finding the precise cost of an item in a store.

When solving inequalities, what should you do if you encounter a negative variable?

• Add the negative variable to both sides.

• Ignore the negative sign and solve as usual.

• Change the direction of the inequality.

• Multiply the entire inequality by zero.

What is the key difference between solving equations and inequalities?

• Inequalities always have a single solution.

• Equations can only be solved with positive numbers.

• Inequalities involve changing the direction when multiplying or dividing by a negative.

• Equations require more steps than inequalities.

In the example where you need to get x on its own, what is the first step?

• Add 3 to every part.

• Divide everything by 2.

• Subtract 7 from every part.

• Multiply every part by 2.

Why is it important to flip the direction of the inequality when dealing with a negative x?

• To avoid having a negative solution.

• To make the solution easier to understand.

• To simplify the inequality.

• To ensure the inequality remains valid.