Solving and Graphing Inequalities

Front

What does it mean when we say x ≥ 48?

Back

It means that x can be 48 or any number greater than 48.

Front

When graphing the inequality b ≤ 6, what type of circle is used?

Back

A closed circle is used to indicate that 6 is included in the solution.

Front

What does the inequality x ≤ 20 represent in a spending context?

Back

It means you can spend 20 dollars or less on the birthday present.

Front

Solve the inequality -2k > 18. What is k?

Back

k is less than -9.

Front

Solve the inequality 6 - 2h > 30. What is h?

Back

h is less than -12.

Front

What is the difference between an open circle and a closed circle on a number line?

Back

An open circle indicates that the number is not included, while a closed circle indicates that it is included.

Front

How do you graph the inequality x < 5?

Back

Draw a number line, place an open circle on 5, and shade to the left.

Front

What does the inequality x > 10 mean in terms of age?

Back

It means the age must be greater than 10.

Front

If a student must score at least 75% to pass, how would this be represented?

Back

x ≥ 75, where x is the score.

Front

What does the inequality 3x ≤ 12 tell us about x?

Back

x must be less than or equal to 4.