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 solutions 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 solutions of the individual inequalities.

Front

What does the symbol '<' mean in inequalities?

Back

The symbol '<' means 'less than'.

Front

What does the symbol '>' mean in inequalities?

Back

The symbol '>' means 'greater than'.

Front

What does the symbol '≤' mean in inequalities?

Back

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

Front

What does the symbol '≥' mean in inequalities?

Back

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

Front

Solve the compound inequality: -3 < 3x < 6.

Back

-1 < x < 2.

Front

Graph the solution of the inequality: -2 ≤ x ≤ 5.

Back

A number line with a solid dot at -2 and 5, shading between them.

Front

Solve the compound inequality: 3d - 4 < -7 OR 5d + 2 > 12.

Back

d < -1 OR d > 2.