solving and graphing 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 'or'?

Back

To solve a compound inequality with 'or', solve each inequality separately and combine the solutions.

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

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: 3x - 4 < -13 or 7x + 1 > 22.

Back

x < -3 or x > 3.

Front

Solve the compound inequality: 3x + 2 < -4 or 4x + 4 > 24.

Back

x < -2 or x > 5.

Front

Write an inequality for the graph that shows x values from -2 to 5, including -2 but not 5.

Back

−2 ≤ x < 5.