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 the symbol '>' mean in inequalities?

Back

The symbol '>' means 'greater than'.

Front

What does the symbol '<' mean in inequalities?

Back

The symbol '<' means 'less than'.

Front

What does the symbol '≥' mean in inequalities?

Back

The symbol '≥' means 'greater than or equal to'.

Front

What does the symbol '≤' mean in inequalities?

Back

The symbol '≤' means 'less than or equal to'.

Front

How do you solve the compound inequality 24 > -3r > -9?

Back

To solve, divide all parts by -3 (remember to flip the inequality signs): -8 < r < 3.

Front

What is the solution to the compound inequality 3x - 4 < -13 or 7x + 1 > 22?

Back

The solution is x < -3 or x > 3.

Front

How do you represent the solution x ≤ -2 OR x > 5 on a number line?

Back

Shade the region to the left of -2 and the region to the right of 5.

Front

What is the difference between 'and' and 'or' in compound inequalities?

Back

'And' means both conditions must be true, while 'or' means at least one condition must be true.

Front

If x < 5 and x > -2, what is the compound inequality?

Back

The compound inequality is -2 < x < 5.