Question

-2n + 7 \geq 1
\quad \quad - 7 \quad - 7 \quad \longleftarrow \quad \text{subtract 7 on both sides.}

\quad \quad -2n \geq -6

\quad \quad \frac{-2n}{-2} \leq \frac{-6}{-2} \quad \longleftarrow \quad \text{divide by } -2 \text{ on both sides. reverse the symbol.}

\quad \quad \quad n \leq \square

Explanation:

Step1: Simplify the inequality

We have \(\frac{-2n}{-2} \leq \frac{-6}{-2}\). When we divide \(-6\) by \(-2\), we calculate \(\frac{-6}{-2}=3\).

Step2: Determine the value of \(n\)

From the previous step, we get \(n \leq 3\).

Answer:

\(3\)