Graphing Compound Inequalities

Front

What does 'AND' mean in compound inequalities?

Back

In compound inequalities, 'AND' means that both conditions must be true simultaneously. The solution is the overlap of the two inequalities.

Front

What does 'OR' mean in compound inequalities?

Back

In compound inequalities, 'OR' means that at least one of the conditions must be true. The solution includes all values that satisfy either inequality.

Front

How do you graph 'AND' inequalities?

Back

When graphing 'AND' inequalities, shade the region where both inequalities overlap, connecting the two endpoints.

Front

How do you graph 'OR' inequalities?

Back

When graphing 'OR' inequalities, shade both regions separately, indicating that any value in either region is part of the solution.

Front

What is the solution set for x ≥ 2 and x ≤ 4?

Back

The solution set is the interval [2, 4], which includes all numbers between 2 and 4, including 2 and 4.

Front

What is the solution set for x ≤ -2 OR x > 5?

Back

The solution set includes all numbers less than or equal to -2 and all numbers greater than 5.

Front

How do you write a compound inequality?

Back

A compound inequality can be written using 'AND' or 'OR' to connect two inequalities, such as x > 1 AND x < 5.

Front

What does the notation -2 ≤ x ≤ 2 represent?

Back

This notation represents all values of x that are greater than or equal to -2 and less than or equal to 2.

Front

What does the notation x < -2 OR x > 2 represent?

Back

This notation represents all values of x that are either less than -2 or greater than 2.

Front

How do you determine the graph of x ≥ -2 AND x < 5?

Back

The graph will include a closed dot at -2 (indicating -2 is included) and an open dot at 5 (indicating 5 is not included), shading between these points.