Restrictions test2

Question:

Answer Explanation:

Before we attempt to solve this problem, we will review the steps necessary to solve a multiple-step inequality.

According to the lesson, we need to isolate the variable, which is x in this case.

Next, we would need to graph the solution set. Because x is strictly greater than 3, we would have a hollow circle at 3 and an arrow pointing in the positive direction.

The only one of our answer choices that falls within the solution set is 5, which is the last answer choice. The third answer choice, 3, cannot fall within the solution set because x is strictly greater than 3, which means that there is no possibility of the variable x being equal to 3.

To confirm that 5 falls within the solution set, we will check our solution by substituting 5 in for x in the original inequality and simplifying.

Since 34 is greater than 22, this is a true statement. Therefore 5 is in fact part of the solution set, so the last answer choice is correct.