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Solve for pp.\newline|p| + 5 > 10

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Q. Solve for pp.\newline∣p∣+5>10|p| + 5 > 10
  1. Isolate absolute value: We have the inequality: \newline|p| + 5 > 10\newlineFirst, we isolate the absolute value term by subtracting 55 from both sides of the inequality.\newline|p| + 5 - 5 > 10 - 5\newline|p| > 5
  2. Interpret inequality: Now we interpret the absolute value inequality.\newlineThe inequality |p| > 5 means that pp is either greater than 55 or less than −5-5.\newlineThis can be written as two separate inequalities:\newlinep > 5 or p < -5
  3. Write compound inequality: We can now write the compound inequality that represents the solution to the original inequality.\newlineThe compound inequality is:\newlinep < -5 or p > 5

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