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Solve for dd.\newline5=∣d−3∣5 = |d - 3|\newlineWrite your answers as integers or as proper or improper fractions in simplest form.\newlined=d = _____ or d=d = _____

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Q. Solve for dd.\newline5=∣d−3∣5 = |d - 3|\newlineWrite your answers as integers or as proper or improper fractions in simplest form.\newlined=d = _____ or d=d = _____
  1. Understand absolute value equation: Understand the absolute value equation.\newlineThe equation 5=∣d−3∣5 = |d − 3| means that the expression inside the absolute value, d−3d − 3, is either 55 or −5-5, because the absolute value of a number is always non-negative.
  2. Set up two equations: Set up two separate equations to solve for dd. Since ∣d−3∣|d − 3| can be either 55 or −5-5, we write: d−3=5d − 3 = 5 or d−3=−5d − 3 = -5
  3. Solve first equation: Solve the first equation d−3=5d - 3 = 5. Add 33 to both sides of the equation to isolate dd: d−3+3=5+3d - 3 + 3 = 5 + 3 d=8d = 8
  4. Solve second equation: Solve the second equation d−3=−5d - 3 = -5. Add 33 to both sides of the equation to isolate dd: d−3+3=−5+3d - 3 + 3 = -5 + 3 d=−2d = -2

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