Inequalities

Front

What is an inequality?

Back

An inequality is a mathematical statement that compares two expressions using inequality symbols (>, <, ≥, ≤) to show that one expression is greater than, less than, or equal to another.

Front

What does the symbol '>' mean in inequalities?

Back

The symbol '>' means 'greater than'. For example, x > 5 means x is greater than 5.

Front

What does the symbol '<' mean in inequalities?

Back

The symbol '<' means 'less than'. For example, x < 3 means x is less than 3.

Front

What does the symbol '≥' mean in inequalities?

Back

The symbol '≥' means 'greater than or equal to'. For example, x ≥ 4 means x is greater than or equal to 4.

Front

What does the symbol '≤' mean in inequalities?

Back

The symbol '≤' means 'less than or equal to'. For example, x ≤ 2 means x is less than or equal to 2.

Front

How do you graph the inequality y < 3?

Back

To graph y < 3, draw a horizontal dashed line at y = 3 and shade the area below the line.

Front

How do you graph the inequality y ≥ -2?

Back

To graph y ≥ -2, draw a horizontal solid line at y = -2 and shade the area above the line.

Front

What is the solution set of the inequality x ≤ 5?

Back

The solution set of x ≤ 5 includes all numbers less than or equal to 5.

Front

If you have the inequality 2x + 3 > 7, how do you solve for x?

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 compound inequality?

Back

A compound inequality combines two inequalities using 'and' or 'or'. For example, x > 1 and x < 5.