Algebra 1 - Graphing an inequality - Math Homework Answers

The video tutorial explains how to graph the inequality 6 ≤ X on a number line. It begins with an introduction to the problem and emphasizes the importance of a consistent process. The teacher demonstrates plotting points on the number line, testing them in the inequality, and determining which points satisfy the inequality. The tutorial concludes with an interpretation of the graph, highlighting which numbers satisfy the inequality and the direction of the graph.

What is the first step in graphing the inequality 6 ≤ X?

• Draw a vertical line at 6.

• Choose a random number to start with.

• Shade the entire number line.

• Plot the number 6 on the number line.

When plotting points on a number line, what should you do after marking the initial point?

• Draw a circle around the initial point.

• Select points to the left and right of the initial point.

• Choose points only to the right of the initial point.

• Erase the initial point.

How do you determine if a point should be shaded on the graph?

• If the point satisfies the inequality.

• If the point is less than 6.

• If the point is a decimal.

• If the point is greater than 10.

What does it mean if a point does not satisfy the inequality?

• The point should be erased.

• The point should be marked with an X.

• The point should be left open.

• The point should be shaded.

What conclusion can be drawn if a point to the right of 6 satisfies the inequality?

• All points to the right of 6 are false.

• All points to the left of 6 are true.

• Only the point 6 is true.

• All points to the right of 6 are true.