Graph and Solve Compound Inequalities

Front

What is a compound inequality?

Back

A compound inequality is an inequality that combines two or more simple inequalities using the words 'and' or 'or'.

Front

What does 'AND' mean in compound inequalities?

Back

In 'AND' compound inequalities, the solution must satisfy both inequalities simultaneously.

Front

What does 'OR' mean in compound inequalities?

Back

In 'OR' compound inequalities, the solution can satisfy either one of the inequalities.

Front

How do you solve the compound inequality -4x + 1 ≤ 21 and 5x + 2 < 22?

Back

x ≥ -5 and x < 4.

Front

How do you solve the compound inequality 3x + 2 < -4 or 4x + 4 > 24?

Back

x < -2 or x > 5.

Front

What is the graphical representation of 'AND' inequalities?

Back

Shading that always connects the two dots.

Front

What is the graphical representation of 'OR' inequalities?

Back

Shading that points away from the two dots.

Front

Write the inequality for the graph that shows the range -2 ≤ x ≤ 5.

Back

-2 ≤ x ≤ 5.

Front

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

Back

x ≤ -2 or x > 5.

Front

What is the solution set for the inequality x > -5 and x ≤ 4?

Back

The solution set is the range of values between -5 and 4, including 4 but not -5.