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 > 3 means x is greater than 3.

Front

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

Back

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

Front

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

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 in an inequality?

Back

The symbol '≤' means 'less than or equal to'. For example, x ≤ 7 means x is less than or equal to 7.

Front

How do you graph the inequality x < 3?

Back

You draw a number line, place an open dot at 3, and shade to the left to indicate all numbers less than 3.

Front

How do you graph the inequality x ≥ -1?

Back

You draw a number line, place a closed dot at -1, and shade to the right to indicate all numbers greater than or equal to -1.

Front

What is the difference between an open dot and a closed dot on a graph?

Back

An open dot indicates that the number is not included (for < or >), while a closed dot indicates that the number is included (for ≤ or ≥).

Front

What does the inequality b ≤ -2 represent on a number line?

Back

It represents all numbers b that are less than or equal to -2, with a closed dot at -2 and shading to the left.

Front

How do you represent the inequality 11 > a on a graph?

Back

You place an open dot at 11 and shade to the left, indicating all numbers less than 11.