Writing & Solving 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 'less than'. For example, 'k < 3' means k is less than 3.

Front

What does the symbol '>' mean?

Back

The symbol '>' means 'greater than'. For example, 'm > -2' means m is greater than -2.

Front

What does the symbol '≤' mean?

Back

The symbol '≤' means 'less than or equal to'. For example, 'g ≤ 45' means g is less than or equal to 45.

Front

What does the symbol '≥' mean?

Back

The symbol '≥' means 'greater than or equal to'. For example, 'n ≥ -2' means n is greater than or equal to -2.

Front

How do you solve the inequality 5m < -10?

Back

To solve 5m < -10, divide both sides by 5: m < -2.

Front

What is the solution to the inequality 26 < p + 28?

Back

To solve 26 < p + 28, subtract 28 from both sides: p > -2.

Front

How do you graph the inequality k < 3?

Back

To graph k < 3, draw a number line, place an open circle at 3, and shade to the left.

Front

How do you graph the inequality -2 ≥ n?

Back

To graph -2 ≥ n, draw a number line, place a closed circle at -2, and shade to the left.

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., < or >), while a closed circle indicates that the number is included (e.g., ≤ or ≥).