It looks like you're trying to solve the inequality \(-16 < y - 6\). Let's work through it step-by-step.
Step 1: Solve the Inequality
To isolate \(y\) in the inequality, we will add 6 to both sides:
\[ -16 + 6 < y \]
This simplifies to:
\[ -10 < y \]
We can also write this as:
\[ y > -10 \]
Step 2: Graph the Solution
To graph this inequality, you would draw a number line.
- Place a mark at \(-10\).
- Since the inequality is \(y > -10\), you draw an open circle at \(-10\) (indicating that \(-10\) is not included in the solution).
- Shade the line to the right of \(-10\) to indicate all values of \(y\) that are greater than \(-10\).
Step 3: Check Your Solution
You can check the solution by substituting a value that satisfies \(y > -10\) and one that does not:
-
Test value \(y = 0\) (which is greater than \(-10\)):
- Inequality: \(-16 < 0 - 6 \rightarrow -16 < -6\) (True)
-
Test value \(y = -11\) (which is not greater than \(-10\)):
- Inequality: \(-16 < -11 - 6 \rightarrow -16 < -17\) (False)
The solution \(y > -10\) is valid.
Final Answer
The solution to the inequality is:
\[ y > -10 \]
Graphically represented as a number line with an open circle at \(-10\) and a shaded line to the right.