Question

Which number is a solution of the inequality?

3x – 15 ≥ 3


5





6

Answer 1

To find out which number is a solution to the inequality \(3x - 15 \geq 3\), we first solve the inequality for \(x\).

1. Start with the original inequality:

\[
3x - 15 \geq 3
\]

2. Add 15 to both sides:

\[
3x \geq 3 + 15
\]

\[
3x \geq 18
\]

3. Now, divide both sides by 3:

\[
x \geq \frac{18}{3}
\]

\[
x \geq 6
\]

So, the solution to the inequality is \(x \geq 6\).

Now, let's check the provided options (5 and 6):

1. **For 5:**
\[
5 < 6 \quad (false)
\]

2. **For 6:**
\[
6 \geq 6 \quad (true)
\]

Thus, the only number that is a solution to the inequality is **6**.