Understanding Inequalities and Their Representations

This video tutorial covers module 11, lesson 11.4 from the sixth-grade Gold Math textbook, focusing on writing and graphing inequalities. It explains the use of inequalities to represent real-world constraints, introduces inequality symbols, and demonstrates how to graph inequalities on a number line. The tutorial includes examples and practice problems to reinforce understanding, emphasizing the infinite nature of solutions and the application of inequalities in real-world scenarios.

Which symbol represents 'greater than or equal to'?

• ≥

• ≤

• >

• <

If a number is to the right of another on a number line, what does it indicate?

• It is not comparable

• It is equal

• It is greater

• It is smaller

How would you represent the phrase 'the sum of y and 2 is greater than 5' as an inequality?

• y + 2 ≥ 5

• y + 2 ≤ 5

• y + 2 > 5

• y + 2 < 5

What does an open circle on a number line indicate?

• The number is the only solution

• The number is a midpoint

• The number is not included

• The number is included

In the inequality x > 3, which of the following is a solution?

• 2

• 3

• 3.5

• 4

What does the inequality x ≤ 5 mean?

• x is greater than 5

• x is less than or equal to 5

• x is less than 5

• x is equal to 5

If a child's height must be at least 48 inches to ride a roller coaster, which inequality represents this?

• h ≥ 48

• h ≤ 48

• h < 48

• h > 48

Which of the following numbers is a solution to the inequality x ≥ 0?

• -1

• -0.5

• -2

• 0

What does the inequality t < 3.5 represent in a real-world context?

• Temperature is not measurable

• Temperature is less than 3.5

• Temperature is more than 3.5

• Temperature is exactly 3.5

If a fundraiser aims to collect more than $150, which inequality represents this goal?

• m = 150

• m > 150

• m < 150

• m ≤ 150