Question

Solve for x: −7 < x − 1 < 8

Answer 1

Answer:
`-6<x<9`

Explanation:

You have the following expression provided in the exercise:

`-7 < x - 1 < 8`

Then, in this case, in order to solve the expression, it is necessary to add 1 to both sides.

Therefore, applying the procedure mentioned before, you get that the solution is the following:

`-7 < x - 1 < 8\\\\-7 +(1)< x < 8+(1)\\\\-6<x<9`

Answer 2

−6 < x < 9

Explanation:

−7 < x − 1 < 8

Add 1 to all sides

−7+1 < x − 1+1 < 8+1

−6 < x < 9