Inequalities

Front

What does the inequality x ≥ -5 represent on a number line?

Back

The graph includes all numbers greater than or equal to -5, represented by a closed dot at -5 and a line extending to the right.

Front

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

Back

It indicates that the value on the left is less than the value on the right.

Front

What does the symbol '>' indicate in an inequality?

Back

It indicates that the value on the left is greater than the value on the right.

Front

When should you use an open dot on a number line?

Back

An open dot is used for inequalities that do not include the endpoint, such as '<' or '>'.

Front

When should you use a closed dot on a number line?

Back

A closed dot is used for inequalities that include the endpoint, such as '≤' or '≥'.

Front

What inequality is represented by a graph with a closed dot at 3 and a line extending to the left?

Back

The inequality is x ≤ 3.

Front

What inequality is represented by a graph with an open dot at 3 and a line extending to the left?

Back

The inequality is x < 3.

Front

How do you represent the inequality r < -12.97 on a number line?

Back

You would use an open dot at -12.97 and shade to the left.

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 the inequality x > 5 mean in terms of a number line?

Back

It means all numbers greater than 5, represented by an open dot at 5 and a line extending to the right.