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 any number greater than 3.

Front

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

Back

The symbol '<' means 'less than'. For example, y < 5 means y is any number less than 5.

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 any number 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 any number less than or equal to 4.

Front

How do you represent the inequality b ≤ -2 on a number line?

Back

You draw a solid dot at -2 and shade to the left, indicating all numbers less than or equal to -2.

Front

How do you represent the inequality x < -4 on a number line?

Back

You draw an open dot at -4 and shade to the left, indicating all numbers less than -4.

Front

What type of dot is used for the inequality k < 3?

Back

An open dot is used for the inequality k < 3, indicating that 3 is not included.

Front

What type of dot is used for the inequality r ≥ -6?

Back

A solid dot is used for the inequality r ≥ -6, indicating that -6 is included.

Front

What is the solution set for the inequality x > 2?

Back

The solution set includes all numbers greater than 2.