Writing Inequalities from Number Lines

The video tutorial covers writing inequalities, starting with an introduction to basic concepts. It uses a real-world example involving Jeff and Mia's heights to illustrate inequalities. The tutorial then explains how to write inequalities using number lines, including identifying and comparing inequalities. The lesson concludes with a recap of the key points discussed.

What does a shaded area on a number line represent?

• A specific number

• A range of solutions for an inequality

• A closed circle

• An undefined value

How can the relationship between two people's heights be represented?

• By a pie chart

• Through inequalities

• With a graph

• Using a number line

What does an open circle on a number line indicate?

• The number line ends

• The number is not part of the solution

• The number is a maximum value

• The number is included in the solution

How do you choose a point to substitute in for a variable when writing an inequality?

• Any number on the number line

• Only the largest number

• A shaded point on the number line

• Only prime numbers

What does 'x is greater than 2' signify on a number line?

• x is to the left of 2

• x equals 2

• x is to the right of 2

• x is less than 2

What is the correct way to express an inequality for a closed circle at negative one?

• x is greater than or equal to -1

• x is greater than -1

• x is less than or equal to -1

• x is less than -1

If a number line has a closed dot at 7, which of the following is a correct inequality?

• x ≥ 7

• x > 7

• x < 7

• x ≤ 7

What does 'x is less than 5' indicate when the circle at 5 is open?

• 5 is not included in the solution

• 5 is the only solution

• 5 is included in the solution

• Only numbers greater than 5 are solutions

How can inequalities be written differently but still express the same relationship?

• By changing the variables

• By reversing the inequality symbol

• By using different numbers

• By writing the variable on either side of the inequality

What is the final step in writing an inequality from a number line?

• Filling in the inequality symbol

• Determining if the circle is open or closed

• Picking a shaded point

• Choosing a variable