Inequalities

Front

What symbol is used to represent an open dot on a number line?

Back

<, >

Front

How is the inequality 'x is less than or equal to 24' expressed mathematically?

Back

x ≤ 24

Front

What inequality is represented by a graph that shows an open circle at 5?

Back

x < 5

Front

What does the inequality 'y < 5' indicate when graphed?

Back

An open circle at y = 5, with shading below the line.

Front

What does the term 'less than' signify in inequalities?

Back

It indicates that one value is smaller than another.

Front

What is the difference between 'less than' and 'less than or equal to'?

Back

'Less than' (<) does not include the endpoint, while 'less than or equal to' (≤) includes the endpoint.

Front

What does an open circle on a number line represent?

Back

It represents that the endpoint is not included in the solution set.

Front

What does a closed circle on a number line represent?

Back

It represents that the endpoint is included in the solution set.

Front

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

Back

Draw a number line, place an open circle at 3, and shade to the right.

Front

What is the graphical representation of 'x ≤ -2'?

Back

Draw a number line, place a closed circle at -2, and shade to the left.