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 '<' represent in inequalities?

Back

The symbol '<' means 'less than'.

Front

What does the symbol '>' represent in inequalities?

Back

The symbol '>' means 'greater than'.

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

How do you graph the inequality x < 3?

Back

You draw a number line, place an open dot at 3, and shade to the left.

Front

How do you graph the inequality x ≥ -2?

Back

You draw a number line, place a closed dot at -2, and shade to the right.

Front

What is the solution to the compound inequality x + 2 < -4 or -5x < -15?

Back

x < -6 or x > 3.

Front

When do you use an open dot when graphing inequalities?

Back

You use an open dot for '<' and '>' symbols.

Front

When do you use a closed dot when graphing inequalities?

Back

You use a closed dot for '≤' and '≥' symbols.