Question

15 which graph shows the solution of the inequality below? -84 < 32n - 20 ≤ 76

Explanation:

Step1: Add 20 to all parts

Add 20 to $-84<32n - 20\leq76$. We get $-84 + 20<32n-20 + 20\leq76 + 20$, which simplifies to $-64<32n\leq96$.

Step2: Divide all parts by 32

Divide $-64<32n\leq96$ by 32. So, $\frac{-64}{32}<\frac{32n}{32}\leq\frac{96}{32}$, resulting in $- 2

Answer:

The graph with an open - circle at $n=-2$ and a closed - circle at $n = 3$ and the line segment between them. Among the options, it seems option E (assuming it has an open - circle at $-2$ and a closed - circle at 3 and the segment in - between) is the correct one. So the answer is E.