Inequalities & Interval Notation

Front

What is an inequality?

Back

An inequality is a mathematical statement that compares two expressions using symbols such as <, >, ≤, or ≥.

Front

What does the symbol '≥' mean?

Back

The symbol '≥' means 'greater than or equal to'.

Front

What does the symbol '≤' mean?

Back

The symbol '≤' means 'less than or equal to'.

Front

How do you represent the solution to an inequality on a number line?

Back

You use an open circle for < or > and a closed circle for ≤ or ≥, along with a line extending in the direction of the solution.

Front

What is interval notation?

Back

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

Front

What does the interval notation [a, b] represent?

Back

The interval notation [a, b] represents all numbers x such that a ≤ x ≤ b.

Front

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

Back

The interval notation (a, b) represents all numbers x such that a < x < b.

Front

What does the interval notation [a, ∞) represent?

Back

The interval notation [a, ∞) represents all numbers x such that x is greater than or equal to a.

Front

What does the interval notation (-∞, b] represent?

Back

The interval notation (-∞, b] represents all numbers x such that x is less than or equal to b.

Front

How do you solve the inequality 2x < -3x + 15?

Back

Combine like terms to get 5x < 15, then divide by 5 to find x < 3.