Solve for x.

Question

Graph the solution.   
negative 0.02x less than or equals 0.04
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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.