Graphing One-Variable Inequalities

The video tutorial explains how to solve equations and graph them on a number line, using the example of 4x = 12, which results in x = 3. It then introduces inequalities, using real-life scenarios like height requirements for rides, and explains the different inequality symbols. The tutorial also covers how to graph inequalities on a number line, detailing the use of open and closed dots and the direction of arrows based on the inequality type.

What is the solution to the equation 4x = 12?

• x = 3

• x = 2

• x = 12

• x = 4

On a number line, how is the solution x = 3 represented?

• With a line through 3

• With an arrow pointing to 3

• With a solid dot on 3

• With an open dot on 3

What does an inequality symbol represent in real-life scenarios?

• Exact values only

• Range of possible values

• Irrelevant data

• Approximations

In the context of the ride height requirement, what does 'X is greater than 48' signify?

• No kids can ride

• Kids 48 inches and taller can ride

• Only kids exactly 48 inches tall can ride

• Kids shorter than 48 inches can ride

Which symbol represents 'greater than or equal to'?

• ≤

• ≥

• >

• <

How do you graph the inequality x < 3 on a number line?

• Closed dot on 3, arrow to the left

• Open dot on 3, arrow to the left

• Closed dot on 3, arrow to the right

• Open dot on 3, arrow to the right

What type of dot is used to represent x > 0?

• Dashed dot

• Closed dot

• No dot

• Open dot

If x is greater than or equal to -1, which direction does the arrow point on a number line?

• Down

• Up

• Right

• Left

What does the inequality x ≥ 0 imply about possible values of x?

• x is any positive number

• x is any non-negative number

• x is zero

• x is any negative number

What is the correct graph representation for x ≤ 10?

• Open dot on 10, arrow to the left

• Open dot on 10, arrow to the right

• Closed dot on 10, arrow to the right

• Closed dot on 10, arrow to the left