Graphing Basic Inequalities on a Number Line

The video tutorial discusses a scenario involving a large chicken escaping due to a fence setting error. It explains how inequalities are used to control what can pass through the fence based on size, using greater than, less than, and equal to symbols. The tutorial also covers a feed mix-up that affected animal sizes, requiring adjustments to the fence settings. It demonstrates how to graph inequalities on a number line and provides practice problems for viewers to try on their own.

What does the fence setting 'greater than 20' imply about the size of chickens that can escape?

• Only chickens heavier than 20 lbs can escape.

• Chickens lighter than 20 lbs can escape.

• All chickens can escape.

• Chickens exactly 20 lbs can escape.

How is 'greater than 20' represented on a number line?

• With an open circle at 20 and an arrow pointing left.

• With an open circle at 20 and an arrow pointing right.

• With a closed circle at 20 and an arrow pointing right.

• With a closed circle at 20 and an arrow pointing left.

What does an open circle on a number line signify?

• The number is included in the set.

• The set is empty.

• The number is not included in the set.

• The set is infinite.

What caused the need to adjust the fence settings?

• The fence was broken.

• The chickens were given the wrong feed.

• The chickens were not growing.

• The professor wanted to test different settings.

What is the consequence of the feed mix-up?

• Some animals may grow larger or smaller than expected.

• No change in animal sizes.

• All animals will decrease in size.

• All animals will grow larger.

What adjustment is needed if animals are getting the wrong feed?

• Increase the fence height.

• Change the feed type.

• Adjust the fence settings.

• No adjustment is necessary.

What does the fence setting 'greater than or equal to 90' allow?

• No animals can escape.

• Only animals heavier than 90 lbs can escape.

• Animals lighter than 90 lbs can escape.

• Animals weighing exactly 90 lbs can escape.

What would happen if the turkey gains another pound and its weight reaches 90 lbs?

• It will still be contained.

• It will not affect the fence setting.

• It will be able to escape.

• It will need more food.

How is 'less than 100' represented on a number line?

• With a closed circle at 100 and an arrow pointing left.

• With an open circle at 100 and an arrow pointing left.

• With an open circle at 100 and an arrow pointing right.

• With a closed circle at 100 and an arrow pointing right.

What does the inequality '10 is less than x' imply?

• x is any number less than 10.

• x can be any number.

• x is any number greater than 10.

• x is exactly 10.