Question

1. solve and graph the inequality n - 5 > 4(4 - 6)

Explanation:

Step1: Simplify the right - hand side

First, calculate $4(4 - 6)$.
$4(4 - 6)=4\times(-2)=-8$.
The inequality becomes $n - 5>-8$.

Step2: Solve for n

Add 5 to both sides of the inequality.
$n-5 + 5>-8 + 5$.
$n>-3$.

Step3: Graph the solution

On a number line, draw an open circle at - 3 (because the inequality is $n>-3$, not $n\geq - 3$) and shade to the right of - 3.

Answer:

The solution of the inequality is $n>-3$. The graph has an open circle at - 3 and shading to the right.