Question

Solve for x: -8 < x - 1 < 5

A) -7 < x < 6
B) 0 < 7
C) -7 > x > 6
D) 9

Answer 1

To solve the inequality -8 < x - 1 < 5, you add 1 to each part of the inequality. This simplifies to -7 < x < 6, which is option A.

Step-by-step explanation:

To solve the inequality -8 < x - 1 < 5, follow these steps:

1. Add 1 to all three parts of the inequality (since x is subtracted by 1, to isolate x we need to perform the opposite operation). This gives us -7 < x < 6.
2. Now the inequality is simplified to its most basic form, which clearly shows the range of x.

The correct answer is A) -7 < x < 6. X must be greater than -7 and less than 6.