Question

Solve the inequality. Graph and check your solutions.
minus16less thanyminus6
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Part 1
y
▼
less than or equals
greater than
less than
greater than or equals
  
enter your response here
​(Simplify your​ answer.)

Answer 1

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.

1. Place a mark at \(-10\).
2. Since the inequality is \(y > -10\), you draw an open circle at \(-10\) (indicating that \(-10\) is not included in the solution).
3. 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.