Graphing Inequalities

Front

What is an inequality?

Back

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

Front

What does the symbol '>' mean in inequalities?

Back

The symbol '>' means 'greater than'. For example, x > 5 means x is greater than 5.

Front

What does the symbol '<' mean in inequalities?

Back

The symbol '<' means 'less than'. For example, x < 3 means x is less than 3.

Front

What does the symbol '≥' mean in inequalities?

Back

The symbol '≥' means 'greater than or equal to'. For example, x ≥ 4 means x is greater than or equal to 4.

Front

What does the symbol '≤' mean in inequalities?

Back

The symbol '≤' means 'less than or equal to'. For example, x ≤ -2 means x is less than or equal to -2.

Front

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

Back

Draw an open circle at 2 and shade to the right to indicate all numbers greater than 2.

Front

How do you graph the inequality x < -1 on a number line?

Back

Draw an open circle at -1 and shade to the left to indicate all numbers less than -1.

Front

What is the difference between '>' and '≥'?

Back

'>' means greater than, while '≥' means greater than or equal to. The latter includes the boundary value.

Front

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

Back

Draw a closed circle at 3 and shade to the right to indicate all numbers greater than or equal to 3.

Front

How do you graph the inequality x ≤ -4 on a number line?

Back

Draw a closed circle at -4 and shade to the left to indicate all numbers less than or equal to -4.