Compound Inequalities

Front

What is a compound inequality?

Back

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

Front

What does 'and' mean in a compound inequality?

Back

In a compound inequality, 'and' means that both conditions must be true at the same time.

Front

What does 'or' mean in a compound inequality?

Back

In a compound inequality, 'or' means that at least one of the conditions must be true.

Front

How do you solve a compound inequality with 'and'?

Back

To solve a compound inequality with 'and', solve each inequality separately and find the intersection of the solution sets.

Front

How do you solve a compound inequality with 'or'?

Back

To solve a compound inequality with 'or', solve each inequality separately and combine the solution sets.

Front

What is the solution set for the inequality -4x + 1 ≤ 21 and 5x + 2 < 22?

Back

x ≥ -5 and x < 4.

Front

What is the solution set for the inequality 3x + 2 < -4 or 4x + 4 > 24?

Back

x < -2 or x > 5.

Front

Write a compound inequality for when water is not liquid.

Back

x ≤ 0 OR x ≥ 100.

Front

What is the solution set for the inequality 5x + 1 < 21 OR 3x + 2 > -1?

Back

All real numbers.

Front

What is the graphical representation of a compound inequality with 'and'?

Back

The solution is represented by the overlapping region of the two inequalities on a number line.