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Solve for xx and graph the solution on the number line below.
minus, 12, is less than, 6, x
−12<
6x
Answer
Attempt 1 out of 2


Inequality Notation:
Number Line:
Click and drag to plot line.
-12
-10
-8
-6
-4
-2
0
2
4
6
8
10
12
Submit Answer

Answer 1

To solve the inequality \(-12 < 6x\), follow these steps:

1. **Isolate \(x\)**:
\[
-12 < 6x
\]
Divide both sides by 6:
\[
\frac{-12}{6} < x
\]
Simplifying gives:
\[
-2 < x
\]
or rewritten as:
\[
x > -2
\]

2. **Inequality Notation**:
The final result in inequality notation is:
\[
x > -2
\]

3. **Graph on the Number Line**:
- Draw a number line.
- Locate \(-2\) on the number line and make an open circle at that point (since \(x\) is greater than \(-2\), but not equal to \(-2\)).
- Shade the line to the right of \(-2\) to indicate all numbers greater than \(-2\).

Here's a visual guide:
- Open circle at \(-2\)
- Shade to the right.

Now you can click and drag to mark \(-2\) as an open circle and shade to the right on the number line provided.

**Final Result**:
- Inequality Notation: \( x > -2 \)
- Number Line: Open circle at \(-2\) and shading to the right.