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 notation [-2, 5] represent?

Back

It represents an interval that includes all numbers from -2 to 5, including -2 and 5.

Front

What is interval notation?

Back

Interval notation is a way of writing subsets of the real number line using brackets and parentheses to indicate whether endpoints are included or excluded.

Front

What does the symbol [ mean in interval notation?

Back

The symbol [ indicates that the endpoint is included in the interval.

Front

What does the symbol ) mean in interval notation?

Back

The symbol ) indicates that the endpoint is not included in the interval.

Front

Can you use the symbols [ or ] with infinity?

Back

No, you cannot use [ or ] with infinity because infinity is not a specific number.

Front

What is the solution to the inequality 3x + 2 < -7?

Back

x < -3.

Front

What is the solution to the inequality -4x + 5 < 1?

Back

x > 1.

Front

What does 'or' mean in compound inequalities?

Back

'Or' means that at least one of the inequalities must be true.

Front

What does 'and' mean in compound inequalities?

Back

'And' means that both inequalities must be true at the same time.