Writing 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' indicates that both conditions must be true simultaneously.

Front

What does 'or' mean in a compound inequality?

Back

In a compound inequality, 'or' indicates that at least one of the conditions must be true.

Front

How do you represent the inequality x ≤ -2 AND x > 5 graphically?

Back

This inequality is represented by two separate regions on a number line: one extending to the left of -2 and the other extending to the right of 5.

Front

How do you represent the inequality x ≥ -2 OR x < 5 graphically?

Back

This inequality is represented by a shaded region starting from -2 to the right and another region extending to the left of 5.

Front

What is the solution set for the inequality 2 ≤ x ≤ 4?

Back

The solution set includes all numbers between 2 and 4, including 2 and 4.

Front

How do you write the inequality for the graph that shows x > 2 and x < 4?

Back

The inequality is written as 2 < x < 4.

Front

What is the difference between 'x > 2' and 'x ≥ 2'?

Back

'x > 2' means x is greater than 2, while 'x ≥ 2' means x is greater than or equal to 2.

Front

How do you solve the compound inequality x < -3 or x > 2?

Back

The solution includes all values less than -3 and all values greater than 2.

Front

What is the graphical representation of x ≤ -2 OR x > 5?

Back

This is represented by shading the region to the left of -2 and the region to the right of 5 on a number line.