Inequalities

Front

What does an open circle represent on a number line when graphing inequalities?

Back

An open circle indicates that the number is not included in the solution set (e.g., x < 5 means x can be any number less than 5, but not 5 itself).

Front

What does a closed circle represent on a number line when graphing inequalities?

Back

A closed circle indicates that the number is included in the solution set (e.g., x ≤ 5 means x can be 5 or any number less than 5).

Front

What inequality represents 'Alex will spend less than 35 minutes playing video games'?

Back

x < 35.

Front

What inequality represents 'Kelsey has at most 10 dollars'?

Back

x ≤ 10.

Front

What inequality represents 'Antavius must score at least 4 more points than he did in the last game'?

Back

s > 17 (if he scored 13 points last game).

Front

What inequality represents 'You must spend at least $10 at the grocery store to get a free reusable shopping bag'?

Back

x ≥ 10.

Front

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

Back

'Greater than' (>) means the number is not included, while 'greater than or equal to' (≥) means the number is included.

Front

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

Back

'Less than' (<) means the number is not included, while 'less than or equal to' (≤) means the number is included.

Front

How do you graph the inequality x < 5 on a number line?

Back

Draw an open circle at 5 and shade to the left.

Front

How do you graph the inequality x ≥ 3 on a number line?

Back

Draw a closed circle at 3 and shade to the right.