Compound Inequalities Quick Check

Front

What is a compound inequality?

Back

A compound inequality combines two or more inequalities using 'and' or 'or'.

Front

Solve the compound inequality: -2 < x - 9 < 3.

Back

7 < x < 12.

Front

When graphing an inequality, what does a closed dot represent?

Back

A closed dot is used for ≤ and ≥, indicating that the endpoint is included.

Front

When graphing an inequality, what does an open dot represent?

Back

An open dot is used for < and >, indicating that the endpoint is not included.

Front

Solve the compound inequality: x + 2 < -4 or -5x < -15.

Back

x < -6 or x > 3.

Front

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

Back

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

Front

How do you represent the solution of a compound inequality on a number line?

Back

Use open or closed dots to indicate whether endpoints are included, and shade the region that satisfies the inequality.

Front

What is the difference between 'and' and 'or' in compound inequalities?

Back

'And' requires both conditions to be true, while 'or' requires at least one condition to be true.

Front

Write the compound inequality for the graph that shows x ≤ -2 and x > 5.

Back

x ≤ -2 OR x > 5.

Front

What is the solution to the inequality 3x - 5 < 4?

Back

x < 3.