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Solve for rr. \newline2|r| > 8\newlineWrite a compound inequality like 1 < x < 3 or like x < 1 or x > 3. Use integers, proper fractions, or improper fractions in simplest form. \newline______

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Q. Solve for rr. \newline2∣r∣>82|r| > 8\newlineWrite a compound inequality like 1<x<31 < x < 3 or like x<1x < 1 or x>3x > 3. Use integers, proper fractions, or improper fractions in simplest form. \newline______
  1. Isolate absolute value: We have the inequality:\newline2|r| > 8\newlineFirst, we need to isolate the absolute value term by dividing both sides of the inequality by 22.\newline\frac{2|r|}{2} > \frac{8}{2}
  2. Determine value range: After dividing, we get:\newline|r| > 4|\newlineThis means that the value inside the absolute value must be greater than 44 or less than −4-4.
  3. Split into two inequalities: To express this without the absolute value, we split it into two separate inequalities:\newliner > 4 or r < -4\newlineThis is the compound inequality that represents the solution to the original inequality.

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