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Solve for pp.\newline−5∣p∣≥−10-5|p| \geq -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 pp.\newline−5∣p∣≥−10-5|p| \geq -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. Divide and Reverse Inequality: We have the inequality:\newline−5∣p∣≥−10-5|p| \geq -10\newlineFirst, we divide both sides by −5-5 to isolate ∣p∣|p|. Remember that dividing by a negative number reverses the inequality sign.\newline−5∣p∣/−5≤−10/−5-5|p| / -5 \leq -10 / -5\newline∣p∣≤2|p| \leq 2
  2. Interpret Absolute Value Inequality: Now we interpret the absolute value inequality ∣p∣≤2|p| \leq 2. This means that pp is less than or equal to 22 and greater than or equal to −2-2. So the compound inequality is −2≤p≤2-2 \leq p \leq 2.

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