Algebra-1

To solve the inequality 3 | d + 1 | - 7 ≥ -1, we can follow these steps:

Step 1: Add 7 to both sides of the inequality:
3 | d + 1 | ≥ -1 + 7
3 | d + 1 | ≥ 6

Step 2: Divide both sides of the inequality by 3 (since 3 is positive, we do not need to flip the inequality):
| d + 1 | ≥ 6/3
| d + 1 | ≥ 2

Now, we have two cases to consider:

Case 1: d + 1 ≥ 0
If d + 1 ≥ 0, we can remove the absolute value symbols without changing the inequality:

d + 1 ≥ 2

Now, solve for d:
d ≥ 2 - 1
d...