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Solve for rr.\newline2|r| > 10\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∣>102|r| > 10\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| > 10\newlineFirst, we need to isolate the absolute value term by dividing both sides of the inequality by 22.\newline\frac{2|r|}{2} > \frac{10}{2}\newline|r| > 5
  2. Consider absolute value definition: Now we need to consider the definition of absolute value. The absolute value of rr is greater than 55, which means rr is either greater than 55 or less than −5-5. So we can write two inequalities: r > 5 or r < -5
  3. Express as compound inequality: These two inequalities represent the solution to the original inequality. We can express them as a compound inequality.\newlineThe compound inequality is:\newliner < -5 or r > 5

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