Postsecondary Education Readiness Test (PERT) Practice Test

To correctly represent the solution of the inequality y - 2 > 1 on a number line, it is important to first solve the inequality. Adding 2 to both sides results in y > 3. This indicates that y can take any value greater than 3 but not equal to 3 itself.

In this context, the number line representation requires an open circle at the number 3. An open circle signifies that the endpoint is not included in the solution set. Additionally, since y is greater than 3, an arrow extending to the right of the open circle indicates that all values greater than 3 are included in the solution.

This visualization effectively communicates that the solution consists of all numbers greater than 3, showing a clear indication that 3 itself is not part of the solution.