Graphing Inequalities

Front

What does the inequality symbol '≤' mean?

Back

It means 'less than or equal to'. It indicates that a value can be less than or equal to another value.

Front

What does the inequality symbol '≥' mean?

Back

It means 'greater than or equal to'. It indicates that a value can be greater than or equal to another value.

Front

What is the graph representation of the inequality 'x < -4'?

Back

A number line with an open circle at -4 and a line extending to the left.

Front

What is the graph representation of the inequality 'x ≥ -4'?

Back

A number line with a closed circle at -4 and a line extending to the right.

Front

How do you solve the inequality 12 ≥ 15 - 6y?

Back

Rearrange to get 6y ≤ 3, then divide by 6 to find y ≥ ½.

Front

What does the phrase 'at most' indicate in terms of inequality?

Back

It indicates the use of the symbol '≤', meaning the value cannot exceed a certain limit.

Front

What does the phrase 'no more than' indicate in terms of inequality?

Back

It indicates the use of the symbol '≤', meaning the value cannot be greater than a certain limit.

Front

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

Back

'>' means greater than, while '≥' means greater than or equal to.

Front

What is the difference between '<' and '≤'?

Back

'<' means less than, while '≤' means less than or equal to.

Front

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

Back

Draw a horizontal dashed line at y = 3 and shade below the line.