Note: Enter your answer and show all the steps that you use to solve this problem in the space provided.
Solve the inequality and describe the solution set.
y – 6 ≥ 12
To solve for y, we want to isolate y on one side of the inequality. First, we add 6 to both sides to get:
y - 6 + 6 ≥ 12 + 6
Simplifying,
y ≥ 18
This means that all values of y that are greater than or equal to 18 will satisfy the inequality. We can represent this solution set on a number line:
------------------●----------------->
-4 -3 -2 -1 0 1 2 3 4
18+
The circle at 18 is filled in because 18 itself is included in the solution set (y can be equal to 18). The arrow points to the right because all values greater than 18 are also included in the solution set. Therefore, the solution set for the inequality y - 6 ≥ 12 is y ≥ 18.