Understanding Inequalities and Their Graphs

The video tutorial covers lesson 28 on inequalities and their graphs. It explains the symbols used for inequalities and demonstrates how to graph inequalities on a number line. The tutorial includes examples such as Y < 3, X ≥ -4, and -1 ≥ X, showing how to determine the direction of the arrow and whether to use an open or closed circle. The video concludes with a summary of the key points and encourages testing values to ensure correct graphing.

Which symbol represents 'less than or equal to' in inequalities?

• ≥

• >

• <

• ≤

When graphing Y < 3 on a number line, what type of circle is used at 3?

• Open circle

• Closed circle

• No circle

• Double circle

If Y < 3, which of the following numbers satisfies the inequality?

• 5

• 2

• 4

• 3

In the inequality X ≥ -4, what type of circle is used at -4 on the number line?

• Open circle

• Closed circle

• Double circle

• No circle

Which of the following numbers satisfies the inequality X ≥ -4?

• -3

• -7

• -5

• -6

If the variable is first in an inequality, how does the arrow direction relate to the inequality symbol?

• Opposite direction

• Same direction

• Random direction

• No relation

In the inequality -1 ≥ X, which direction does the arrow point on the number line?

• Left

• Right

• Up

• Down

What happens to the circle on the number line if the inequality includes 'equal to'?

• It disappears

• It doubles

• It becomes open

• It becomes closed

Which of the following is true for an inequality with just 'greater than'?

• Double circle

• No circle

• Closed circle

• Open circle

What should you do to ensure the arrow direction is correct when graphing an inequality?

• Ignore the direction

• Test a number

• Draw a random line

• Guess the direction