Question

Solve the inequality.

6x ≥ 6


x ≤ 1


x ≥ 1


x ≥ 0


x > 0

Answer 1

To solve the inequality \(6x \geq 6\), we will isolate \(x\).

1. Start by dividing both sides of the inequality by 6:

\[
x \geq 1
\]

Now, let's analyze the options provided:

1. \( x \leq 1 \) - This is incorrect.
2. \( x \geq 1 \) - This is correct based on our calculation.
3. \( x \geq 0 \) - This is also correct, but it's less specific than \( x \geq 1 \).
4. \( x > 0 \) - 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: **\( x \geq 1 \)**.