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Solve for nn.\newline-5 > n - 2 > -15\newlineWrite your answer as a compound inequality with integers.\newlineChoices:\newline(A) -7 > n > -17\newline(B) -3 > n > -17\newline(C) -3 > n > -13\newline(D) -7 > n > -13

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Q. Solve for nn.\newline−5>n−2>−15-5 > n - 2 > -15\newlineWrite your answer as a compound inequality with integers.\newlineChoices:\newline(A) −7>n>−17-7 > n > -17\newline(B) −3>n>−17-3 > n > -17\newline(C) −3>n>−13-3 > n > -13\newline(D) −7>n>−13-7 > n > -13
  1. Solve Right Part: Solve the right part of the compound inequality.\newlineWe have -5 > n - 2 > -15. Let's first isolate nn on the right side by adding 22 to all parts of the inequality.\newline-5 + 2 > n - 2 + 2 > -15 + 2\newline-3 > n > -13
  2. Write Compound Inequality: Write the compound inequality correctly.\newlineThe inequality -3 > n > -13 is equivalent to -13 < n < -3. This is the correct way to write the compound inequality, with nn in the middle.
  3. Compare with Choices: Compare the solution to the given choices.\newlineThe correct compound inequality is -13 < n < -3. Now, let's compare this to the given choices:\newline(A) -7 > n > -17\newline(B) -3 > n > -17\newline(C) -3 > n > -13\newline(D) -7 > n > -13\newlineThe correct choice that matches our solution is (C) -3 > n > -13.

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