Compound Inequalities & Interval Notation

Front

What is a compound inequality?

Back

A compound inequality combines two or more inequalities using 'and' or 'or'.

Front

What does 'or' mean in compound inequalities?

Back

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

Front

What does 'and' mean in compound inequalities?

Back

In compound inequalities, 'and' indicates that both inequalities must be true simultaneously.

Front

How do you represent the solution of a compound inequality graphically?

Back

The solution is represented on a number line, showing the ranges of values that satisfy the inequalities.

Front

What is interval notation?

Back

Interval notation is a way of writing subsets of the real number line using intervals.

Front

What do square brackets [ ] indicate in interval notation?

Back

Square brackets indicate that the endpoint is included in the interval (closed interval).

Front

What do parentheses ( ) indicate in interval notation?

Back

Parentheses indicate that the endpoint is not included in the interval (open interval).

Front

How do you write the solution x < -3 or x > 3 in interval notation?

Back

(-∞, -3) ∪ (3, ∞)

Front

What is set builder notation?

Back

Set builder notation is a shorthand way to describe a set by stating the properties that its members must satisfy.

Front

How do you write the solution y - 3 ≥ -11 AND y - 3 ≤ -8 in set builder notation?

Back

{ y | -8 ≤ y ≤ -5 }