Compound Inequalities

Front

Define 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 '≤' represent in inequalities?

Back

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

Front

What does the symbol '≥' represent in inequalities?

Back

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

Front

What is the solution set of the compound inequality -3 ≤ 2x - 1 ≤ 5?

Back

-1 ≤ x ≤ 3.

Front

When graphing the inequality x < 4, what type of dot is used?

Back

An open dot is used.

Front

When graphing the inequality x ≤ 4, what type of dot is used?

Back

A closed dot is used.

Front

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

Back

x ≥ -5 and x < 4.

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

How do you represent the solution of x > 2 on a number line?

Back

Draw an open dot at 2 and shade to the right.

Front

How do you represent the solution of x ≤ 2 on a number line?

Back

Draw a closed dot at 2 and shade to the left.