Solving and Graphing One-Step Inequalities

Front

What is an inequality?

Back

An inequality is a mathematical statement that compares two expressions and shows that one is greater than, less than, greater than or equal to, or less than or equal to the other.

Front

What does the symbol '≥' mean?

Back

The symbol '≥' means 'greater than or equal to'.

Front

What does the symbol '>' mean?

Back

The symbol '>' means 'greater than'.

Front

What does the symbol '<' mean?

Back

The symbol '<' means 'less than'.

Front

What does the symbol '≤' mean?

Back

The symbol '≤' means 'less than or equal to'.

Front

How do you solve the inequality 3x < 12?

Back

Divide both sides by 3: x < 4.

Front

What is the solution to the inequality 5 - x ≥ 2?

Back

Subtract 5 from both sides: -x ≥ -3. Multiply by -1 (reverse the inequality): x ≤ 3.

Front

What does a closed circle on a number line represent?

Back

A closed circle represents that the number is included in the solution (e.g., x ≥ 3).

Front

What does an open circle on a number line represent?

Back

An open circle represents that the number is not included in the solution (e.g., x > 3).

Front

How do you graph the inequality x + 2 < 5?

Back

First, solve for x: x < 3. Then, graph an open circle at 3 and shade to the left.