Inequalities & Interval Notation

Front

What is interval notation?

Back

Interval notation is a way of representing a range of numbers using parentheses and brackets. Parentheses ( ) indicate that the endpoint is not included, while brackets [ ] indicate that the endpoint is included.

Front

What do the symbols > and < mean in inequalities?

Back

> means 'greater than' and < means 'less than'.

Front

What type of bracket is used for strict inequalities (>, <) in interval notation?

Back

( )

Front

What type of bracket is used for inclusive inequalities (≥, ≤) in interval notation?

Back

[ ]

Front

Solve the inequality: -3 + x ≤ -11

Back

x ≤ -8

Front

Solve the inequality: 3x - 2 < 13

Back

x < 5

Front

What inequality does the number line graph with a closed circle at -5 and shading to the right represent?

Back

x ≥ -5

Front

What does the solution x + 8 < 3 represent in interval notation?

Back

(-∞, -5)