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Solve for ww.\newline-15 < w - 9 < 7\newlineWrite your answer as a compound inequality with integers.\newlineChoices:\newline(A) -6 < w < -2\newline(B) -6 < w < 16\newline(C) -24 < w < 16\newline(D) -24 < w < -2

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Q. Solve for ww.\newline−15<w−9<7-15 < w - 9 < 7\newlineWrite your answer as a compound inequality with integers.\newlineChoices:\newline(A) −6<w<−2-6 < w < -2\newline(B) −6<w<16-6 < w < 16\newline(C) −24<w<16-24 < w < 16\newline(D) −24<w<−2-24 < w < -2
  1. Add 99 to isolate w: Add 99 to all three parts of the inequality to isolate w.\newline-15 + 9 < w - 9 + 9 < 7 + 9
  2. Perform addition for range: Perform the addition to find the range for ww.-6 < w < 16
  3. Check solution validity: Check the solution to ensure it makes sense.\newlineIf we substitute ww with a number slightly greater than −6-6, the original inequality should hold true. Similarly, if we substitute ww with a number slightly less than 1616, the inequality should also hold true.
  4. Write compound inequality: Write the answer as a compound inequality with integers.\newlineThe solution is -6 < w < 16, which corresponds to choice (B)(B).

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