Understanding Inequalities on a Number Line

The video tutorial covers solving and graphing inequalities on a number line. It begins with isolating the variable p in an inequality and graphing it using a closed arrow. The tutorial then moves on to solving another inequality involving K, demonstrating how to multiply to eliminate fractions and graphing the result with an open arrow to indicate that the endpoint is not included.

What is the first step in solving an inequality involving a variable?

• Multiply both sides by zero

• Isolate the variable

• Add the same number to both sides

• Subtract the same number from both sides

When solving the inequality p + 2 > 11, what is the resulting inequality?

• p = 9

• p ≥ 9

• p < 9

• p > 9

How do you represent an inequality that includes the number on a number line?

• With a shaded region

• With a dashed line

• With a closed circle

• With an open circle

What does a closed arrow on a number line indicate?

• The inequality is true

• The inequality is false

• The number is included

• The number is not included

In the inequality K/7 < 2, what is the value of K after solving?

• K = 14

• K > 14

• K < 14

• K ≤ 14

How do you represent an inequality that does not include the number on a number line?

• With a closed circle

• With an open circle

• With a solid line

• With a dotted line

What operation is used to eliminate a fraction in an inequality?

• Multiplication

• Addition

• Subtraction

• Division

What does an open arrow on a number line signify?

• The number is included

• The number is not included

• The inequality is equal

• The inequality is not equal