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, x < 3 means x is less than 3.

Front

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

Back

The symbol '≥' means 'greater than or equal to'. For example, x ≥ 10 means x is greater than or equal to 10.

Front

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

Back

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

Front

How do you represent the inequality x < 5 on a number line?

Back

You would draw an open circle at 5 and shade to the left, indicating all numbers less than 5.

Front

How do you represent the inequality x ≤ 3 on a number line?

Back

You would draw a closed circle at 3 and shade to the left, indicating all numbers less than or equal to 3.

Front

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

Back

An open circle indicates that the number is not included (e.g., <), while a closed circle indicates that the number is included (e.g., ≤).

Front

If a graph shows a line extending to the right from 11 with a closed circle, what inequality does it represent?

Back

It represents the inequality a ≥ 11.

Front

If a graph shows a line extending to the left from 6 with an open circle, what inequality does it represent?

Back

It represents the inequality b < 6.