Solve the​ inequality, and graph the solution.

Question

6xgreater than or equalsnegative 6
.
.
.
Question content area right
Part 1
What is the​ solution?
x
  
enter your response here
  
enter your response here
​(Type the inequality​ symbol, followed by the​ number.)

Answer 1

To solve the inequality \( 6x \geq -6 \), we first divide both sides by 6:

\[ x \geq -1 \]

So, the solution is:

\[ x \geq -1 \]

In inequality notation, you would write:

\[ \geq -1 \]

Graphing the solution:

To graph \( x \geq -1 \), you would draw a number line:

1. Draw a horizontal line (the number line).
2. Choose a point for \(-1\) on the line.
3. Since the inequality is "greater than or equal to," you would place a closed dot (●) at \(-1\) to indicate that \(-1\) is included in the solution.
4. Shade the line to the right of \(-1\) to indicate all numbers greater than \(-1\).

This visual representation depicts that any number greater than or equal to \(-1\) satisfies the inequality.