Assignment - Solving 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

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 is the solution to the inequality 3x - 4 < -13?

Back

x < -3.

Front

What is the solution to the inequality 7x + 1 > 22?

Back

x > 3.

Front

Write the compound inequality for the solution x ≤ -2 OR x > 5.

Back

The compound inequality is x ≤ -2 OR x > 5.

Front

How do you express 'four times a number increased by 6 is at least 22' as an inequality?

Back

4x + 6 ≥ 22.

Front

What is the solution to the compound inequality -8 < 2(x + 4) or -3x + 4 > x - 4?

Back

x < -8 or x < 2.