Compound Inequalities test

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 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

Solve the compound inequality: 2 < x + 2 < 5

Back

0 < x < 3

Front

How do you graph the inequality x > 2 or x ≤ -3?

Back

Graph a dashed line at x = 2 and shade to the right, and a solid line at x = -3 and shade to the left.

Front

What is the solution to the inequality 3x + 2 < -4?

Back

x < -2.

Front

What is the solution to the inequality 4x + 4 > 24?

Back

x > 5.

Front

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

Back

x ≤ -2 or x > 5.

Front

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

Back

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

Front

How do you solve a compound inequality?

Back

Solve each inequality separately and then combine the results.