Solve one-step inequalities 2023

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 > 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, x < 5 means x 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, x ≥ 2 means x 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, x ≤ 7 means x is any number less than or equal to 7.

Front

How do you solve the inequality n - 80 > -83?

Back

Add 80 to both sides: n > -3.

Front

How do you graph the inequality n > -3?

Back

Draw a number line, place an open dot at -3, and shade to the right.

Front

What does the graph of x < -4 look like?

Back

An open dot at -4 with shading to the left on the number line.

Front

How do you solve the inequality 4 ≥ g?

Back

This means g can be any number less than or equal to 4.

Front

What does a closed dot represent in graphing inequalities?

Back

A closed dot represents that the number is included in the solution (used with ≤ or ≥).