graphing 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?

Back

The symbol '>' means 'greater than'.

Front

What does the symbol '<' mean?

Back

The symbol '<' means 'less than'.

Front

What does the symbol '≥' mean?

Back

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

Front

What does the symbol '≤' mean?

Back

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

Front

How do you graph the inequality x < 5?

Back

You draw a number line, place an open circle at 5, and shade to the left.

Front

How do you graph the inequality x ≥ 3?

Back

You draw a number line, place a closed 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 (e.g., x < 5), while a closed circle indicates that the number is included (e.g., x ≥ 3).

Front

What is the solution set for the inequality x < 8?

Back

The solution set includes all numbers less than 8, such as 7, 6, 0.8, etc.

Front

How would you express '10 less than the product of a number and three' in algebraic form?

Back

3y - 10.