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Solve for dd.∣d∣+5>15|d| + 5 > 15Write 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.

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Q. Solve for dd.∣d∣+5>15|d| + 5 > 15Write 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.
  1. Definition of Absolute Value: Now we consider the definition of absolute value, which states that ∣d∣>10|d| > 10 means dd is more than 1010 units away from 00 on the number line. This leads to two separate inequalities:\newlined>10d > 10 or d<−10d < -10
  2. Compound Inequality: We can now write the compound inequality that represents the solution to the original inequality.\newlineThe compound inequality is d>10d > 10 or d<−10d < -10.

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