Exploring the Basics of Writing Inequalities

The video tutorial by John Carlo covers the basics of writing and understanding inequalities. It explains the different inequality symbols, such as less than, greater than, and their variations with equal to. The tutorial also demonstrates how to graph inequalities on a number line, using open and closed circles to represent different types of inequalities. Additionally, it provides examples of writing inequalities to model real-world situations, emphasizing the importance of understanding keywords in word problems.

Which symbol represents 'less than or equal to'?

• <

• >

• ≥

• ≤

What does the phrase 'at most' indicate in an inequality?

• Less than or equal to

• Greater than

• Less than

• Equal to

How is an open circle used when graphing inequalities?

• For all types of inequalities

• For 'less than' or 'greater than' inequalities

• For 'less than or equal to' inequalities

• For 'greater than or equal to' inequalities

When graphing the inequality y ≤ -3, which direction do you shade?

• To the left

• No shading required

• Both directions

• To the right

What is the first step in writing an inequality to model a relationship?

• Define the variable

• Graph the inequality

• Solve the inequality

• Identify the keywords

In the inequality y + 2 > 5, what operation should be performed to isolate y?

• Subtraction

• Addition

• Multiplication

• Division

If the temperature must be below 5 degrees Celsius, which inequality represents this situation?

• t ≤ 5

• t < 5

• t ≥ 5

• t > 5

What does the phrase 'more than' indicate in an inequality?

• Greater than

• Less than

• Equal to

• Less than or equal to

For the inequality w > 2, how should the graph be represented?

• Open dot on 2, shading to the left

• Closed dot on 2, shading to the right

• Open dot on 2, shading to the right

• Closed dot on 2, shading to the left

What is the correct inequality for the phrase 'the sum of 1 and y is greater than or equal to 3'?

• 1 + y ≤ 3

• 1 + y ≥ 3

• 1 + y > 3

• 1 + y < 3