Exploring Writing Inequalities

The video tutorial covers writing and graphing inequalities, starting with basic concepts and progressing to compound inequalities and graphing linear inequalities with shading. It demonstrates how to graph inequalities on a number line, translate sentences into inequalities, and verify solutions. Key symbols such as less than, greater than, and equal to are reviewed.

What is the main focus of Chapter 3.1?

• Learning about polynomials

• Solving quadratic equations

• Writing and graphing inequalities

• Understanding functions

How do you graph the inequality Y ≤ -3?

• Using a vertical number line

• Using a horizontal number line

• Using a coordinate plane

• Using a bar graph

What does the inequality Y < -3 mean in terms of graphing?

• Y is greater than or equal to -3

• Y is equal to -3

• Y is greater than -3

• Y is less than -3

What does a closed circle on a number line represent?

• The value is not included

• The value is less than

• The value is included

• The value is greater than

Which symbol represents 'less than or equal to'?

• ≥

• >

• <

• ≤

What does the inequality symbol '>' mean?

• Less than or equal to

• Greater than

• Less than

• Greater than or equal to

Which of the following is NOT an inequality symbol?

• =

• <

• ≤

• ≥

How would you write the inequality for 'M multiplied by -5 is at most -3/4'?

• -5M ≥ -3/4

• -5M < -3/4

• -5M ≤ -3/4

• -5M > -3/4

What is the first step in checking if a solution works for an inequality?

• Substituting the value into the inequality

• Writing the inequality in words

• Graphing the inequality

• Solving for the variable

If N + 6 ≤ 12, what is the value of N when N = 4?

• 4

• 10

• 12

• 6