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------------------------------------------------ Solve for [tex] x [/tex]:

[tex] -7 < x - 1 < 8 [/tex]

A. [tex] -6 > x > 9 [/tex]

B. [tex] 6 < x < 9 [/tex]

C. [tex] -6 < x < 9 [/tex]

D. [tex] 6 > x > -9 [/tex]

Answer :

Sure! Let's solve the inequality step-by-step.

Given inequality:
[tex]\[ -7 < x - 1 < 8 \][/tex]

Step 1: Add 1 to all parts of the inequality to isolate [tex]\( x \)[/tex]

-7 + 1 < x - 1 + 1 < 8 + 1

This simplifies to:
[tex]\[ -6 < x < 9 \][/tex]

Now that we have isolated [tex]\( x \)[/tex], the solution to the inequality is:
[tex]\[ -6 < x < 9 \][/tex]

So, the correct answer is:
[tex]\[ -6 < x < 9 \][/tex]

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