To solve the inequality \(6x \geq 6\), we will isolate \(x\).
- Start by dividing both sides of the inequality by 6:
\[ x \geq 1 \]
Now, let's analyze the options provided:
- \( x \leq 1 \) - This is incorrect.
- \( x \geq 1 \) - This is correct based on our calculation.
- \( x \geq 0 \) - This is also correct, but it's less specific than \( x \geq 1 \).
- \( x > 0 \) - This is also correct since all values greater than 1 are also greater than 0.
Hence, the direct solution to the inequality \(6x \geq 6\) is:
\[ x \geq 1 \]
So the correct option is: \( x \geq 1 \).