Middle School

Solve for \( x \):
\[ -7 < x - 1 < 8 \]

A. \( 6 < x < 9 \)
B. \( -6 > x > 9 \)
C. \( 6 > x > -9 \)
D. \( -6 < x < 9 \)

Answer :

The solution of the given compound inequality −7 < x − 1 < 8 is −6 < x < 9 so option (D) will be correct.

What is inequality?

A difference between two values indicates whether one is smaller, larger, or basically not similar to the other.

In other words, inequality is simply the opposite of equality. For instance, if I declare that 2 = 2, it is equal; however, if I say that 3 = 6, it is incorrect; the proper phrase is 3 6.

Given the compound inequality

⇒ −7 < x − 1 < 8

⇒ -7 + 1 < x < 8 + 1

⇒ -6 < x < 9

Hence "The solution of the given compound inequality −7 < x − 1 < 8 is −6 < x < 9".

For more about inequality,

brainly.com/question/20383699

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Answer:

The answer would be D. -6 < x < 9