Solve for x.

Question

Graph the solution.   
minusx less than or equals 3
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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 \(-x \leq 3\), 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 \(x \geq -3\).