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Solve for ww. \newline−3∣w∣≤−9-3|w| \leq -9\newlineWrite a compound inequality like 1 < x < 3 or like x < 1 or x > 3. Use integers, proper, or improper fractions in simplest form.\newline______

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Q. Solve for ww. \newline−3∣w∣≤−9-3|w| \leq -9\newlineWrite a compound inequality like 1<x<31 < x < 3 or like x<1x < 1 or x>3x > 3. Use integers, proper, or improper fractions in simplest form.\newline______
  1. Divide and Solve: We have the inequality: \newline−3∣w∣≤−9-3|w| \leq -9\newlineFirst, we divide both sides by −3-3 to solve for ∣w∣|w|. Remember that dividing by a negative number reverses the inequality sign.\newline−3∣w∣/−3≥−9/−3-3|w| / -3 \geq -9 / -3\newline∣w∣≥3|w| \geq 3
  2. Interpret Absolute Value Inequality: Now we interpret the absolute value inequality ∣w∣≥3|w| \geq 3. This means that ww is either greater than or equal to 33 or less than or equal to −3-3. So we can write two inequalities: w≥3w \geq 3 or w≤−3w \leq -3
  3. Write Compound Inequality: We can now write the compound inequality that represents the solution to the original inequality.\newlineThe compound inequality is:\newlinew≤−3w \leq -3 or w≥3w \geq 3

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