Intro 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 not equal to the other.

Front

What does the symbol '<' represent?

Back

The symbol '<' represents 'less than'.

Front

What does the symbol '>' represent?

Back

The symbol '>' represents 'greater than'.

Front

How do you graph the inequality 'x < 5'?

Back

You would use an open circle at 5 and shade to the left.

Front

How do you graph the inequality 'y > 3'?

Back

You would use an open circle at 3 and shade to the right.

Front

What is the difference between an open circle and a closed circle in graphing inequalities?

Back

An open circle indicates that the number is not included in the solution (e.g., < or >), while a closed circle indicates that the number is included (e.g., ≤ or ≥).

Front

What is the solution set for the inequality 'x > 2'?

Back

The solution set includes all numbers greater than 2.

Front

If 'y < 7', what is one possible value for y?

Back

Any number less than 7, such as 6, 5, or 0.

Front

What is the meaning of the inequality 'x ≤ 4'?

Back

The inequality 'x ≤ 4' means that x can be 4 or any number less than 4.

Front

What is the solution to the inequality '3x > 9'?

Back

The solution is x > 3.