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Solve for pp.∣p∣+5>10|p| + 5 > 10Write 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______

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Q. Solve for pp.∣p∣+5>10|p| + 5 > 10Write 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: \newline∣p∣+5>10|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|p| + 5 - 5 > 10 - 5\newline∣p∣>5|p| > 5
  2. Interpret inequality: Now we interpret the absolute value inequality.\newlineThe inequality ∣p∣>5|p| > 5 means that pp is either greater than 55 or less than −5-5.\newlineThis can be written as two separate inequalities:\newlinep>5p > 5 or p<−5p < -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<−5p < -5 or p>5p > 5

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