Answer:
To solve the compound inequality -7 < x - 1 < 8, you can break it down into two separate inequalities and solve for x individually:
1. -7 < x - 1
2. x - 1 < 8
Let's solve each one:
1. -7 < x - 1
Add 1 to both sides:
-7 + 1 < x - 1 + 1
-6 < x
2. x - 1 < 8
Add 1 to both sides:
x - 1 + 1 < 8 + 1
x < 9
So, the solution to the compound inequality -7 < x - 1 < 8 is:
-6 < x < 9
Hope this helps