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Solve for dd.\newline17d+10617 \geq d + 10 \geq -6\newlineWrite your answer as a compound inequality with integers.\newlineChoices:\newline(A)7d167 \geq d \geq -16\newline(B)7d47 \geq d \geq 4\newline(C)27d427 \geq d \geq 4\newline(D)27d1627 \geq d \geq -16

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Q. Solve for dd.\newline17d+10617 \geq d + 10 \geq -6\newlineWrite your answer as a compound inequality with integers.\newlineChoices:\newline(A)7d167 \geq d \geq -16\newline(B)7d47 \geq d \geq 4\newline(C)27d427 \geq d \geq 4\newline(D)27d1627 \geq d \geq -16
  1. Analyze Inequality: Analyze the given compound inequality 17d+10617 \geq d + 10 \geq -6. Which operation should we use to isolate dd? In d+10d + 10, 1010 is being added to dd. Subtraction should be used to isolate dd.
  2. Use Subtraction to Isolate: Subtract 1010 from all parts of the inequality to isolate dd. \newline17d+10617 \geq d + 10 \geq -6\newline1710d+101061017 - 10 \geq d + 10 - 10 \geq -6 - 10\newline7d167 \geq d \geq -16
  3. Subtract 1010 to Isolate: Check the solution to ensure it makes sense.\newlineIf dd is replaced with a number between 77 and 16-16, the original inequality should hold true. Let's test with d=0d = 0.\newline170+10617 \geq 0 + 10 \geq -6\newline1710617 \geq 10 \geq -6 which is true.\newlineThe solution seems correct.

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