Question

1. 8 - 6n ≥ 8 or 2 + 7n ≥ 58

Explanation:

Step1: Solve the first inequality

Subtract 8 from both sides of $8 - 6n\geq8$:
$8-8 - 6n\geq8 - 8$
$-6n\geq0$
Divide both sides by - 6 and reverse the inequality sign (since dividing by a negative number):
$n\leq0$

Step2: Solve the second inequality

Subtract 2 from both sides of $2 + 7n\geq58$:
$2-2 + 7n\geq58 - 2$
$7n\geq56$
Divide both sides by 7:
$n\geq8$

Answer:

The solution is $n\leq0$ or $n\geq8$.