2.1 Writing and Graphing Inequalities

Front

What does a solid line indicate when graphing an inequality?

Back

A solid line indicates that the inequality includes the boundary value, represented by symbols like '≤' or '≥'.

Front

What does an open dot represent when graphing an inequality?

Back

An open dot indicates that the boundary value is not included in the solution, represented by symbols like '<' or '>'.

Front

How do you represent 'more than 4,200 steps' in inequality form?

Back

x > 4200.

Front

How do you represent 'no more than 24 grams of sugar' in inequality form?

Back

x ≤ 24.

Front

How do you represent 'less than $50 spent on sports equipment' in inequality form?

Back

x < 50.

Front

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

Back

'Greater than' (>) does not include the boundary value, while 'greater than or equal to' (≥) includes it.

Front

What is the symbol for 'less than'?

Back

The symbol for 'less than' is '<'.

Front

What is the symbol for 'greater than or equal to'?

Back

The symbol for 'greater than or equal to' is '≥'.

Front

When graphing the inequality x < 5, what type of dot is used?

Back

An open dot is used.

Front

When graphing the inequality x ≥ 3, what type of line is used?

Back

A solid line is used.