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Solve for x: −7 < x − 1 < 8

6 < x < 9
−6 > x > 9
6 > x > −9
−6 < x < 9

User Jiangzhen
by
4.9k points

1 Answer

8 votes

[Hello, blueface1728]

Answer:

[D] −6 < x < 9

Explanation:

So, if a < u <b then a < u and u <b

-7 < x - 1 and x -1 < 8

Solving

-7 < x - 1 = x > -6

x - 1 < 8 = x < 9

Combine the intervals

-6 < x < 9

Now looking at the answer choice :

6 < x < 9

−6 > x > 9

6 > x > −9

−6 < x < 9

Thus, the answer is [D] −6 < x < 9

Kavinsky

User Abhinav Kinagi
by
4.1k points