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.
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 \(x \geq -3\).
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 \(x \geq -3\).