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 in an inequality?

Back

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

Front

What does the symbol '<' mean in an inequality?

Back

'<'' means 'less than'. For example, y < 10 means y is less than 10.

Front

What does the symbol '≥' mean in an inequality?

Back

'≥' means 'greater than or equal to'. For example, a ≥ 11 means a is greater than or equal to 11.

Front

What does the symbol '≤' mean in an inequality?

Back

'≤' means 'less than or equal to'. For example, b ≤ 100 means b is less than or equal to 100.

Front

How do you graph the inequality x < 3?

Back

You draw a number line, place an open circle on 3, and shade to the left to indicate all numbers less than 3.

Front

How do you graph the inequality y ≥ 4?

Back

You draw a number line, place a closed circle on 4, and shade to the right to indicate all numbers greater than or equal to 4.

Front

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

Back

The solution set includes all real numbers greater than 5.

Front

What is the difference between '>' and '≥'?

Back

'>' does not include the number, while '≥' includes the number in the solution.

Front

What is the meaning of '10 less than the product of a number and three'?

Back

It means 3y - 10, where y is the number.