Exploring Graphing and Solving Inequalities

The video tutorial explains how to solve inequalities, using a scenario where a balloon must rise above a mountain. It covers the basics of inequalities, including symbols and solving steps, and demonstrates graphing the inequality on a number line. The tutorial also includes a practical example of calculating the weight needed to achieve the required height. The video concludes with a promotion of additional resources available on BrainPOP.

What symbol represents quantities that are not equal?

• Equals (=)

• Less than (<)

• Greater than (>)

• Not equal to (!=)

What does the inequality symbol '>' signify?

• Greater than

• Less than

• Not equal to

• Equal to

What is the altitude of the mountain ahead of the balloon?

• 125 meters

• 1190 meters

• 1315 meters

• 120 kilograms

To solve an inequality, what must you do with the variable?

• Convert it to a constant

• Isolate it

• Ignore it

• Multiply it by itself

How much higher does the balloon need to climb to clear the mountain?

• 1315 meters

• 125 meters

• 5 meters

• 120 meters

What is the purpose of isolating the variable in an inequality?

• To make it more complex

• To solve the inequality

• To graph it

• To simplify the equation

What does the red line on the graph represent?

• The weight of the ballast

• The minimum height increase needed

• The mountain's height

• The balloon's current altitude

How much weight needs to be dumped to rise enough?

• 125 kilograms

• 120 kilograms

• 5 kilograms

• None

What would happen if 'x' were greater than or equal to 125?

• The balloon would not clear the mountain

• The circle on the graph would be filled in

• The balloon would just clear the mountain

• The balloon would need more weight

Why was the balloon initially unable to clear the mountain?

• It was too heavy

• All of the above

• It was not high enough

• It had too much ballast