Solve. Write your answer in interval notation. \( -2 x-7>1 \) or \( x-2 \geq-1 \) Solution Interval Notation

First, let's solve the inequalities! For \( -2x - 7 > 1 \): Adding 7 to both sides gives \( -2x > 8 \). Now, divide by -2 (don’t forget to flip the inequality): \( x < -4 \). Now for \( x - 2 \geq -1 \): Adding 2 to both sides gives \( x \geq 1 \). Now we combine these findings. The first inequality indicates all numbers less than -4, and the second one indicates all numbers greater than or equal to 1. Thus, the solution in interval notation is: \[ (-\infty, -4) \cup [1, \infty) \]