Assignment - Solving compound inequalities

Front

What is a compound inequality?

Back

A compound inequality combines two or more inequalities using 'AND' or 'OR'.

Front

What does 'AND' mean in compound inequalities?

Back

In 'AND' inequalities, the solution must satisfy both inequalities simultaneously.

Front

What does 'OR' mean in compound inequalities?

Back

In 'OR' inequalities, the solution satisfies at least one of the inequalities.

Front

How do you graph 'AND' inequalities?

Back

Shade the region where both inequalities overlap.

Front

How do you graph 'OR' inequalities?

Back

Shade the regions of both inequalities separately.

Front

What is the solution to the compound inequality x > 5 OR x < -2?

Back

The solution includes all values greater than 5 and all values less than -2.

Front

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

Back

x < -8 or x < 2.

Front

What does it mean if a compound inequality has no solutions?

Back

It means there are no values that satisfy either inequality.

Front

How do you write a compound inequality for the graph that shows x ≤ -2 OR x > 5?

Back

The inequality is x ≤ -2 OR x > 5.

Front

What is the difference between 'AND' and 'OR' in compound inequalities?

Back

'AND' requires both conditions to be true, while 'OR' requires at least one condition to be true.