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Solve for dd.\newline3|d| > 9\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 dd.\newline3∣d∣>93|d| > 9\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. Inequality Solution: We have the inequality:\newline3|d| > 9\newlineFirst, we solve for ∣d∣|d|.\newlineDivide both sides of the inequality by 33 to isolate ∣d∣|d|.\newline\frac{3|d|}{3} > \frac{9}{3}\newline|d| > 3
  2. Interpret Absolute Value: Now we interpret the meaning of |d| > 3.\newlineThe absolute value of dd being greater than 33 means that dd can be either greater than 33 or less than −3-3.\newlineSo we can write two separate inequalities:\newlined > 3 or d < -3
  3. Write Compound Inequality: We now write the compound inequality as requested.\newlineThe compound inequality is:\newlined < -3 or d > 3\newlineThis is the final answer in the form of a compound inequality.

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