4.4: Writing Inequalities in Interval Notation

Front

What is interval notation?

Back

Interval notation is a way of representing a range of numbers using parentheses and brackets to indicate whether endpoints are included or excluded.

Front

What does the notation \( (-\infty, a) \) represent?

Back

It represents all real numbers less than 'a', where 'a' is not included.

Front

What does the notation \( [a, b) \) represent?

Back

It represents all real numbers from 'a' to 'b', including 'a' but excluding 'b'.

Front

Translate the inequality \( x \leq -2 \) into interval notation.

Back

\((-\infty, -2]\)

Front

Translate the inequality \( x > 3 \) into interval notation.

Back

\((3, \infty)\)

Front

Translate the inequality \( x \geq 5 \) into interval notation.

Back

\([5, \infty)\)

Front

Translate the inequality \( x > -4 \) into interval notation.

Back

\((-4, \infty)\)

Front

Translate the inequality \( x < 0 \) into interval notation.

Back

\((-\infty, 0)\)

Front

What does the notation \( (a, b) \) represent?

Back

It represents all real numbers between 'a' and 'b', excluding both endpoints.

Front

What does the notation \( [a, b] \) represent?

Back

It represents all real numbers from 'a' to 'b', including both endpoints.