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 'greater than'. For example, x > 3 means x is greater than 3.

Front

What does the symbol '<' represent in inequalities?

Back

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

Front

What does the symbol '≥' represent in inequalities?

Back

The symbol '≥' means 'greater than or equal to'. For example, x ≥ 3 means x is greater than or equal to 3.

Front

What does the symbol '≤' represent in inequalities?

Back

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

Front

How do you solve the inequality 2x - 3 > x + 3?

Back

To solve, subtract x from both sides: x - 3 > 3. Then add 3: x > 6.

Front

What is the solution set for the inequality x < -5 or x > 5?

Back

The solution set includes all values of x that are either less than -5 or greater than 5.

Front

How do you graph the inequality x > -2?

Back

Graph a number line, place an open circle at -2, and shade to the right to indicate all numbers greater than -2.

Front

What is the cost inequality for Netflix Plan A and Plan B?

Back

The inequality is 2x + 10 < 4x + 8, which means the cost of Plan A is less than the cost of Plan B.

Front

How do you interpret the solution x > 3?

Back

The solution x > 3 means that any value of x that is greater than 3 satisfies the inequality.