Question

Solve for x: -6 < x-1 <9
05 0-5 0-5 >x> 10
O 5 >x>-10

Answer 1

To solve the inequality -6 < x-1 < 9, we need to isolate x. The solution is -5 < x < 10.

Step-by-step explanation:

To solve the inequality -6 < x-1 < 9, we need to isolate x. Let's break it down into two separate inequalities:

1. -6 < x-1
2. x-1 < 9

1. For the first inequality, let's add 1 to both sides:

• -6 + 1 < x-1 + 1
• -5 < x

2. For the second inequality, let's add 1 to both sides:

• x - 1 + 1 < 9 + 1
• x < 10

Combining the two inequalities, we have -5 < x < 10. So, the solution is:

• -5 < x < 10