Master Writing the compound inequality from a graph of the solution

This video tutorial explains how to write compound inequalities from a graph. It covers the difference between 'and' and 'or' inequalities, using examples to illustrate each type. The tutorial emphasizes the importance of understanding closed and open points on a graph and provides practical tips for writing inequalities correctly. The video concludes with a summary of how to write compound inequalities as single statements.

What is a key characteristic of compound inequalities?

• They involve only one inequality.

• They always use the conjunction 'but'.

• They are always represented by open points on a graph.

• They involve two inequalities connected by 'and' or 'or'.

How can you identify a compound inequality using 'and' on a graph?

• The points are open and go in opposite directions.

• The points are closed and go in opposite directions.

• The points are open and the shaded area is outside them.

• The points are closed and the shaded area is between them.

What does a closed point on a graph indicate in terms of inequality?

• The value is included in the inequality.

• The value is strictly greater than or less than.

• The inequality is invalid.

• The value is not part of the inequality.

In an 'or' compound inequality, what does it mean if a point is open?

• The value is included in the inequality.

• The value is not included in the inequality.

• The inequality is invalid.

• The value is strictly greater than or less than.

How do you determine the correct conjunction for a compound inequality?

• By the color of the graph.

• By checking if the points are open or closed.

• By seeing if the shaded areas overlap or are separate.

• By counting the number of points on the graph.

What is the correct way to write a compound inequality with boundaries -3 and 9?

• -3 <= X < 9

• X > -3 and X < 9

• X < -3 or X > 9

• -3 < X <= 9

When writing a single statement inequality, what should you consider?

• The type of points (open or closed) and the range they cover.

• The direction of the arrows only.

• The color of the graph.

• The number of inequalities involved.