Interval notation and Inequalities

Front

What is interval notation?

Back

A mathematical notation used to represent a range of values, typically expressed using parentheses and brackets.

Front

What does the notation (a, b) represent?

Back

All values between a and b, excluding both a and b.

Front

What does the notation [a, b) represent?

Back

All values between a and b, including a, but excluding b.

Front

What does the notation (a, b] represent?

Back

All values between a and b, excluding a, but including b.

Front

What does the notation [a, b] represent?

Back

All values between a and b, including both a and b.

Front

How is the inequality x < 5 expressed in interval notation?

Back

(-∞, 5)

Front

How is the inequality x ≥ 3 expressed in interval notation?

Back

[3, ∞)

Front

What is the interval notation for the inequality -2 < x < 3?

Back

(-2, 3)

Front

How do you express the inequality x ≤ 4 in interval notation?

Back

(-∞, 4]

Front

What does the notation (-∞, a) represent?

Back

All values less than a.