Question

Solve for x.
Graph the solution.   
minusx less than or equals 3
.
.
.
Question content area right
Part 1
The solution is x greater than or equals
  
enter your response here.

Answers

GPT-4o mini
To solve the inequality \(-x \leq 3\), you can follow these steps:

1. **Multiply or divide by -1:** When you multiply or divide an inequality by a negative number, you must flip the inequality sign.
- So, multiply both sides by -1:
\[
x \geq -3
\]

Thus, the solution to the inequality is:

\[
x \geq -3
\]

### Graphing the Solution:
On a number line, you can represent this solution:

1. Draw a number line.
2. Place a closed circle (or dot) on -3 to indicate that -3 is included in the solution (since it is "greater than or equal to").
3. Shade the area to the right of -3 to indicate that all numbers greater than -3 are part of the solution.

### Final Answer:
The solution is \(x \geq -3\).