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Solve for \( x \):

\[-7 < x - 1 < 8\]

A. \( 6 < x < 9 \)

B. \( -6 > x > 9 \)

C. \( 6 > x > -9 \)

D. \( -6 < x < 9 \)

Answer :

-6 < x < 9

To solve this inequality, you can add 1 to both sides of the inequality to get:

−7 + 1 < x − 1 + 1 < 8 + 1

-6 < x < 9

This inequality is a compound inequality, which is made up of two separate inequalities joined by the word "and".

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Rewritten by : Barada