Solving One-Step Inequalities by Adding or Subtracting – Practice Problems

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Do you need help? Watch the Video Lesson for this Practice Problem. Solving One-Step Inequalities by Adding or Subtracting

When values are not equal but something else, we use an inequality to solve the problem. If x > 3, we know all the values greater than 3 are in the solution set, but what if the inequality is similar to a one-step equation?

To solve one-step inequalities with a constant added or subtracted to a variable, we follow the same steps as we do when solving similar algebraic equations. To solve, we use the opposite or inverse operation to isolate the variable remembering to keep the inequality balanced. Whatever we do on one side of the inequality sign, we must do on the other side of the sign. Adding and subtracting does not change the direction of the sign, so you can maintain the direction.

It’s a good idea to use a number line when solving inequalities, as it makes solutions easy to visualize and check. Don’t forget, an open dot is for greater than (>) and less than (

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Exercises in this Practice Problem
Determine the maximum weight of Carol's second suitcase.
Describe how to represent solutions of an inequality on a number line.
Find the correct inequalites for the number lines.
Figure out how much Sue can spend on ice cream.
Decide how much Carol's suitcase can weigh.
Solve the inequalities.