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 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 the compound inequality 2x + 1 > 9 or x - 4 < 6?

Back

The solution is all real numbers because either condition can be satisfied.

Front

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

Back

The solution set includes all numbers between -2 and 5, including -2 and 5.

Front

How do you graph the inequality 2 ≤ x ≤ 4?

Back

You draw a number line and shade the region between 2 and 4, including solid dots at 2 and 4.

Front

What is the difference between 'x > 2' and 'x ≥ 2'?

Back

'x > 2' means x is greater than 2, while 'x ≥ 2' means x is greater than or equal to 2.

Front

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

Back

The solution includes all numbers less than -3 and all numbers greater than 5.

Front

How do you combine the inequalities x < 3 and x > 1?

Back

The combined inequality is 1 < x < 3.

Front

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

Back

The solution is x < 3.