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 '<' represent in inequalities?

Back

The symbol '<' means 'less than'. For example, x < 5 means x is any number less than 5.

Front

What does the symbol '>' represent in inequalities?

Back

The symbol '>' means 'greater than'. For example, x > 3 means x is any number greater than 3.

Front

How do you solve the inequality 8x < 48?

Back

To solve 8x < 48, divide both sides by 8: x < 6.

Front

What is the solution to the inequality x + 5 > 7?

Back

To solve x + 5 > 7, subtract 5 from both sides: x > 2.

Front

How do you solve the inequality x - 9 > 10?

Back

To solve x - 9 > 10, add 9 to both sides: x > 19.

Front

What is the solution to the inequality -5m < 10?

Back

To solve -5m < 10, divide both sides by -5 (remember to flip the inequality sign): m > -2.

Front

How do you solve the inequality 7n > 49?

Back

To solve 7n > 49, divide both sides by 7: n > 7.

Front

What is the difference between strict and non-strict inequalities?

Back

Strict inequalities use '<' or '>', while non-strict inequalities use '≤' or '≥', indicating whether the boundary value is included.

Front

What does it mean to graph an inequality on a number line?

Back

Graphing an inequality on a number line involves drawing a line or ray to represent all the solutions, using open circles for strict inequalities and closed circles for non-strict inequalities.