Graphing Inequalities (one-step)

Front

What is an inequality?

Back

An inequality is a mathematical statement that compares two expressions using inequality 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 any number 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 any number less than 3.

Front

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

Back

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

Front

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

Back

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

Front

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

Back

A closed dot indicates that the number is included in the solution (≤ or ≥), while an open dot indicates that the number is not included ( < or >).

Front

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

Back

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

Front

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

Back

Draw a closed dot at 2 and shade to the right, indicating all numbers greater than or equal to 2.

Front

What does the inequality a > 11 represent on a number line?

Back

It represents all numbers greater than 11, shown with an open dot at 11 and shading to the right.

Front

What does the inequality d ≤ 2.75 represent on a number line?

Back

It represents all numbers less than or equal to 2.75, shown with a closed dot at 2.75 and shading to the left.