Solve the inequality and graph the solution.
2a+10>2

### Step 1: Solve the Inequality

Given inequality:

\[
2a + 10 > 2
\]

**Subtract 10 from both sides:**

\[
2a + 10 - 10 > 2 - 10
\]

\[
2a > -8
\]

**Divide both sides by 2:**

\[
\frac{2a}{2} > \frac{-8}{2}
\]

\[
a > -4
\]

### Step 2: Graph the Solution

To graph the solution \( a > -4 \):

1. Draw a number line.
2. Mark the point \(-4\) on the line.
3. Use an open circle at \(-4\) to indicate that \(-4\) is not included in the solution (since the inequality is strict: \(>\)).
4. Shade the line to the right of \(-4\) to represent all values greater than \(-4\).

### Visual Representation of the Solution

The graph would look like this:

```
--------(----|================>
          -4 
```

The open circle at \(-4\) and shading to the right show all values of \( a \) that are greater than \(-4\).

Would you like more details or have any questions?

### Related Questions:

1. How would the graph change if the inequality were \( a \geq -4 \)?
2. What happens if the inequality were \( 2a + 10 < 2 \)?
3. How do you solve and graph compound inequalities like \( 2a + 10 > 2 \) and \( a < 5 \)?
4. How would you graph the inequality on a coordinate plane?
5. What are some real-world examples where inequalities like this are used?

**Tip:** Always double-check which direction the inequality symbol points when graphing!

Solve the inequality and graph the solution. 2a + 10 > 2

Learn how to solve and graph the inequality 2a + 10 > 2 with a step-by-step guide. This problem covers core algebraic concepts such as solving inequalities and graphing solutions on a number line. Ideal for students in Grades 6-8.

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