Graphing Inequalities

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'. For example, x > 3 means x is greater than 3.

Front

What does the symbol '<' mean?

Back

The symbol '<' means 'less than'. For example, x < 5 means x is less than 5.

Front

What does the symbol '≥' mean?

Back

The symbol '≥' means 'greater than or equal to'. For example, x ≥ 2 means x is greater than or equal to 2.

Front

What does the symbol '≤' mean?

Back

The symbol '≤' means 'less than or equal to'. For example, x ≤ 4 means x is less than or equal to 4.

Front

How do you graph the inequality x < 3 on a number line?

Back

Draw a number line, place an open circle on 3, and shade to the left to indicate all numbers less than 3.

Front

How do you graph the inequality x ≥ 2 on a number line?

Back

Draw a number line, place a closed circle on 2, and shade to the right to indicate all numbers greater than or equal to 2.

Front

What is the solution set of the inequality x > 4?

Back

The solution set includes all numbers greater than 4, represented as (4, ∞) in interval notation.

Front

What is the solution set of the inequality x ≤ -1?

Back

The solution set includes all numbers less than or equal to -1, represented as (-∞, -1] in interval notation.

Front

How do you write an inequality for 'no more than 20'?

Back

The inequality is x ≤ 20.