Writing and Graphing Inequalities

Front

What does an open circle on a graph of an inequality indicate?

Back

An open circle indicates that the number is not included in the solution (e.g., x > 12).

Front

What does a closed circle on a graph of an inequality indicate?

Back

A closed circle indicates that the number is included in the solution (e.g., x ≤ -9).

Front

How would you represent 'less than' in an inequality?

Back

Using the symbol '<' (e.g., b < 900).

Front

How would you represent 'greater than or equal to' in an inequality?

Back

Using the symbol '≥' (e.g., h ≥ 48).

Front

What is the inequality that represents Sean having less than $900 in his bank account?

Back

b < 900.

Front

What is the inequality that represents being at least 48 inches tall?

Back

h ≥ 48.

Front

What is the difference between 'x < 21' and 'x ≤ 21'?

Back

x < 21 means x is less than 21 (open circle), while x ≤ 21 means x is less than or equal to 21 (closed circle).

Front

If a student scores more than 85 on a test, how would you write this as an inequality?

Back

s > 85, where s is the score.

Front

What does the inequality 'x ≥ 5' mean?

Back

x is greater than or equal to 5.

Front

How do you graph the inequality 'x < 10'?

Back

Draw a number line, place an open circle at 10, and shade to the left.