Writing and Graphing 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 '≤' mean?

Back

The symbol '≤' means 'less than or equal to'. It indicates that a value can be either less than or exactly equal to another value.

Front

What does the symbol '≥' mean?

Back

The symbol '≥' means 'greater than or equal to'. It indicates that a value can be either greater than or exactly equal to another value.

Front

How do you graph the inequality x < -4 on a number line?

Back

To graph x < -4, draw a number line, place an open circle on -4 (indicating -4 is not included), and shade to the left to show all numbers less than -4.

Front

How do you graph the inequality x ≥ 30 on a number line?

Back

To graph x ≥ 30, draw a number line, place a closed circle on 30 (indicating 30 is included), and shade to the right to show all numbers greater than or equal to 30.

Front

What is the inequality for 'at most 45'?

Back

The inequality for 'at most 45' is g ≤ 45.

Front

What is the inequality for 'more than 250'?

Back

The inequality for 'more than 250' is c > 250.

Front

How do you express 'no more than 18 students'?

Back

The expression for 'no more than 18 students' is s ≤ 18.

Front

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

Back

The symbol '>' means 'greater than' (not including the number), while '≥' means 'greater than or equal to' (including the number).

Front

What does the inequality x < 4 represent?

Back

The inequality x < 4 represents all numbers less than 4.