Question

Solve for x.
Graph the solution.   
negative 0.02x less than or equals 0.04
.
.
.
Question content area right
Part 1
The solution is x greater than or equals
  
enter your response here.

Answer 1

To solve the inequality \(-0.02x \leq 0.04\), follow these steps:

1. **Isolate \(x\)**: Divide both sides of the inequality by \(-0.02\). Remember that dividing by a negative number flips the inequality sign.

\[
x \geq \frac{0.04}{-0.02}
\]

2. **Calculate \(\frac{0.04}{-0.02}\)**:

\[
\frac{0.04}{-0.02} = -2
\]

So the solution to the inequality is:

\[
x \geq -2
\]

### Part 1: The solution is \(x\) greater than or equals -2.

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### Graphing the solution:

To graph the solution \(x \geq -2\):

1. **Draw a number line**.
2. **Locate -2** on the number line.
3. **Place a closed dot (●)** on -2 to indicate that -2 is included in the solution.
4. **Shade to the right** of -2 to represent all numbers greater than -2.

The graph visually shows that any number greater than or equal to -2 satisfies the inequality.

Remember, the important part is that -2 is included in the solution, hence the closed dot.