Solve the inequality. Graph and check your solutions.
y-6>-13
y>
-7
Inequality: y-6>-13
To solve this inequality, we need to isolate the variable y. First, let's add 6 to both sides:
y-6+6>-13+6
y>-7
The solution to this inequality is y > -7.
To graph the solution, we draw an open circle at -7 on the number line to indicate that -7 is not included in the solution. Then, we shade the region to the right of -7 to represent all values greater than -7.
The graph of the inequality y > -7 is shown below:
<image>
To check the solution, we can pick any value greater than -7 and substitute it into the original inequality. For example, if we substitute y = 0:
0 - 6 > -13
-6 > -13
This is true, so the solution is correct.