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 the symbol '≤' mean in an inequality?

Back

The symbol '≤' means 'less than or equal to'.

Front

What does the symbol '≥' mean in an inequality?

Back

The symbol '≥' means 'greater than or equal to'.

Front

When do you use an open dot on a graph of an inequality?

Back

An open dot is used when the inequality symbol is '<' or '>'.

Front

What is the solution set for the inequality x + 5 < 10?

Back

x < 5.

Front

How do you solve the compound inequality 2x - 3 < 5 and x + 1 > 2?

Back

x < 4 and x > 1, which can be written as 1 < x < 4.

Front

What is the solution to the inequality -3x > 9?

Back

x < -3.

Front

What does the solution x > 5 represent on a number line?

Back

It represents all numbers to the right of 5, not including 5 itself.

Front

How do you graph the inequality x ≤ 3?

Back

You draw a number line, place a closed dot on 3, and shade to the left.

Front

What is the solution set for the inequality 4x + 1 < 9 or 2x - 3 > 5?

Back

All real numbers.