Question

Kuta Software - Infinite Algebra Absolute Value Inequalities Solve each inequality and graphits solution. Name Sarantbeles Date 328/2002 1) lonlsis 2) Aprilsa g ܛܸܐܡܦܬ Axl Laalala -84PTHLO BYLPLBY

Answer 1

We can solve the given inequality by following these steps:

1. Isolate the term that has the absolute value on one side of the inequality, we can do this by adding 3 and dividing by 9 on both sides:

9 |1 + 8n| - 3 ≥ 78

9 |1 + 8n| ≥ 81

|1 + 8n| ≥ 81/9

|1 + 8n| ≥ 9

2. Apply the definition of the absolute value function:

1 + 8n ≥ 9 and 1 + 8n ≤ -9

3. Solve for n:

8n ≥ 8 and 8n ≤ -10

n ≥ 1 and n ≤ - 5/4

We can graph the solution like this: