Writing/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 in an inequality?

Back

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

Front

What does the symbol '<' mean in an inequality?

Back

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

Front

What does the symbol '≥' mean in an inequality?

Back

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

Front

What does the symbol '≤' mean in an inequality?

Back

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

Front

How do you graph the inequality b ≤ -2?

Back

To graph b ≤ -2, draw a number line, place a closed circle on -2, and shade to the left.

Front

How do you graph the inequality n ≥ 0?

Back

To graph n ≥ 0, draw a number line, place a closed circle on 0, and shade to the right.

Front

What does the inequality x ≥ 3 represent on a number line?

Back

The inequality x ≥ 3 represents all numbers greater than or equal to 3, graphed with a closed circle on 3 and shading to the right.

Front

What does the inequality x < -4 represent on a number line?

Back

The inequality x < -4 represents all numbers less than -4, graphed with an open circle on -4 and shading to the left.

Front

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

Back

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