Solve for j.

Question

j–17≥–1 or j–4≤–10
Write your answer as a compound inequality with integers.

Answer 1

To solve the compound inequality \( j - 17 \geq -1 \) or \( j - 4 \leq -10 \), we will solve each inequality separately.

1. Solving the first inequality: \[ j - 17 \geq -1 \] Add 17 to both sides: \[ j \geq 16 \]

2. Solving the second inequality: \[ j - 4 \leq -10 \] Add 4 to both sides: \[ j \leq -6 \]

Now we combine the results from both inequalities. The solution is: \[ j \geq 16 \quad \text{or} \quad j \leq -6 \]

In interval notation, this can be expressed as: \[ (-\infty, -6] \cup [16, \infty) \]

In integer form as a compound inequality, the solution can be expressed as: \[ j \leq -6 \text{ or } j \geq 16 \]