Algebra 1 - Graphing an inequality less than or equal too - Math Help

The video tutorial explains how to understand and graph inequalities. It begins with an introduction to the concept of inequalities and the symbols used. The instructor then provides a step-by-step methodology for graphing inequalities, including selecting points and testing them to determine if they satisfy the inequality. The tutorial demonstrates how to graph the solution by shading the appropriate region and concludes with a discussion addressing questions about the process.

What does the symbol '≤' represent in the context of inequalities?

• Not equal to

• Equal to

• Less than or equal to

• Greater than or equal to

When graphing the inequality X ≤ 6, what is the first step?

• Draw a line through 6

• Shade the entire number line

• Place an open circle at 6

• Mark a point at 0

How do you determine which points to shade when graphing an inequality?

• Shade points that make the inequality true

• Shade points that make the inequality false

• Shade only the point at 6

• Shade all points to the right of the circle

What does the arrow on the graph of an inequality indicate?

• The inequality is false

• The end of the number line

• All numbers that satisfy the inequality

• The direction of increasing numbers

Why might negative numbers not be included in the initial graphing of X ≤ 6?

• They are automatically included

• They are not part of the inequality

• Negative numbers are always excluded

• The instructor chose not to include them