Solve the inequality and give the solution in interval notation. \[ -5 \leq t+8<9 \] The answer in interval notation is (Use integers or fractions for any numbers in the expression.)

To solve the compound inequality \(-5 \leq t + 8 < 9\), we will break it down into two parts. 1. Start with the left side: \(-5 \leq t + 8\). Subtracting 8 from both sides gives: \(-5 - 8 \leq t\) or \(-13 \leq t\), which can be rewritten as \(t \geq -13\). 2. Now, for the right side: \(t + 8 < 9\). Subtracting 8 from both sides gives: \(t < 9 - 8\) or \(t < 1\). Putting both parts together, we have: \(-13 \leq t < 1\). So, in interval notation, the solution is: \([-13, 1)\).