Exploring Basic Inequalities in One Variable

This video tutorial covers the basics of algebraic inequalities, including the different symbols used to represent them and how to determine solutions. It explains how to graph inequalities on a number line and provides real-world examples to illustrate their application. The tutorial aims to help students understand the concept of inequalities and how to work with them in various mathematical contexts.

Which symbol represents 'less than'?

• >

• ≥

• ≤

• <

If -4 is compared to -2, which statement is true?

• -4 ≥ -2

• -4 < -2

• -4 = -2

• -4 > -2

What does the 'greater than or equal to' symbol look like?

• ≥

• ≤

• >

• <

Is 4 a solution to the inequality x > 1?

• Yes, because 4 is equal to 1

• No, because 4 is not a number

• Yes, because 4 is greater than 1

• No, because 4 is less than 1

Which of the following is true for the inequality x ≤ 9 when x = 4?

• 4 is equal to 9

• 4 is greater than 9

• 4 is less than or equal to 9

• 4 is not less than or equal to 9

How do you graph the solution set for x > 2 on a number line?

• Closed point on 2, graph to the left

• Closed point on 2, graph to the right

• Open point on 2, graph to the left

• Open point on 2, graph to the right

What symbol is used in interval notation to indicate that a number is not included in the interval?

• Square bracket [ ]

• Angle bracket < >

• Curly bracket { }

• Rounded parenthesis ( )

In interval notation, how is the interval for x ≥ 2 represented?

• [2, ∞)

• (2, ∞]

• (2, ∞)

• [2, ∞]

If a child must be more than 48 inches tall to go on a ride, which inequality represents this situation?

• H > 48

• H ≥ 48

• H ≤ 48

• H < 48

Jordan can spend at most $10 on lunch. Which inequality represents this?

• L < 10

• L ≤ 10

• L > 10

• L ≥ 10