Introduction to 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, or equal to the other.

Front

What does the symbol '>' represent in inequalities?

Back

The symbol '>' means 'greater than'.

Front

What does the symbol '<' represent in inequalities?

Back

The symbol '<' means 'less than'.

Front

What does the symbol '≥' represent in inequalities?

Back

The symbol '≥' means 'greater than or equal to'.

Front

What does the symbol '≤' represent in inequalities?

Back

The symbol '≤' means 'less than or equal to'.

Front

How do you express 'x is at most -5' as an inequality?

Back

x ≤ -5.

Front

What is the solution to the inequality y < -3 when y = -1?

Back

Not a solution, because -1 is not less than -3.

Front

What is the solution to the inequality u > -1/2 when u = 0?

Back

Solution, because 0 is greater than -1/2.

Front

How can you represent the inequality 'x is greater than or equal to 3' on a number line?

Back

A closed dot at 3 and a line extending to the right.

Front

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

Back

Strict inequalities (<, >) do not include the boundary point, while non-strict inequalities (≤, ≥) do include the boundary point.