Algebra - Inequalities

Front

What is an inequality?

Back

An inequality is a mathematical statement that compares two expressions using symbols like <, >, ≤, or ≥.

Front

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

Back

The symbol '>' means 'greater than'. For example, x > 3 means x is 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 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 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 ≤ 4 means x is less than or equal to 4.

Front

How do you graph the inequality x > 2?

Back

To graph x > 2, draw a number line, place an open circle at 2, and shade to the right.

Front

How do you graph the inequality y ≤ 3?

Back

To graph y ≤ 3, draw a horizontal line at y = 3, use a solid line, and shade below the line.

Front

What is the solution set of the inequality x < -1?

Back

The solution set of x < -1 includes all numbers less than -1.

Front

What is a solution to the inequality 2x + 3 > 7?

Back

To solve 2x + 3 > 7, subtract 3 from both sides to get 2x > 4, then divide by 2 to find x > 2.

Front

What is a system of inequalities?

Back

A system of inequalities is a set of two or more inequalities with the same variables.