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

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

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

Solve the compound inequality: −4x + 1 ≤ 21 and 5x + 2 < 22.

Back

x ≥ −5 and x < 4.

Front

What is the solution set for the inequality x ≤ −2 or x > 5?

Back

The solution set includes all numbers less than or equal to -2 and all numbers greater than 5.

Front

How do you graph the solution of a compound inequality with 'or'?

Back

You graph each inequality separately and shade the regions that satisfy either inequality.

Front

How do you graph the solution of a compound inequality with 'and'?

Back

You graph each inequality separately and shade the region where both inequalities overlap.

Front

What is the solution to the compound inequality: x + 3 > 5 and x - 2 < 4?

Back

x > 2 and x < 6.