Question

Solve the inequality and graph the solution on the line provided.
minus, 13, plus, 2, x, is greater than or equal to, minus, 15
−13+2x≥
−15
Answer
Attempt 1 out of 2


Inequality Notation:
Number Line:

Answer 1

To solve the inequality \(-13 + 2x \geq -15\), follow these steps:

1. **Isolate the variable \(x\)**:
\[
-13 + 2x \geq -15
\]
First, add \(13\) to both sides:
\[
2x \geq -15 + 13
\]
Simplifying the right side gives:
\[
2x \geq -2
\]

2. **Divide by 2**:
Now, divide both sides by \(2\):
\[
x \geq -1
\]

So the solution to the inequality is:
\[
x \geq -1
\]

### Inequality Notation:
The solution in inequality notation is:
\[
x \geq -1
\]

### Number Line Representation:
On a number line, you would represent this as follows:
- Draw a number line.
- Mark the point \(-1\) with a closed dot (because the inequality includes \(-1\)).
- Shade the region to the right of \(-1\) (to indicate all values greater than or equal to \(-1\)).

Here's a simple representation of the number line:

```
<---|----|-----|-----|-----|-----|-----|-----|-----|---->
-3 -2 -1 0 1 2 3
●------> (shaded to the right)
```

Where \(-1\) is marked with a closed dot.