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

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

Back

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

Front

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

Back

To solve a compound inequality with 'or', find the union of the solution sets of the individual inequalities.

Front

What does the symbol '<' mean?

Back

The symbol '<' means 'less than'.

Front

What does the symbol '>' mean?

Back

The symbol '>' means 'greater than'.

Front

What does the symbol '≤' mean?

Back

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

Front

What does the symbol '≥' mean?

Back

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

Front

Solve the compound inequality: -3 < 2x + 1 < 5.

Back

-2 < x < 2.

Front

Write the compound inequality for the solution set: {x | -2 ≤ x ≤ 5}.

Back

-2 ≤ x ≤ 5.

Front

What is the solution to the inequality: 4x - 1 > 3 or 2x + 3 < 1?

Back

x > 1 or x < -1.