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Solve for jj.\newline∣j+3∣=5|j + 3| = 5\newlineWrite your answers as integers or as proper or improper fractions in simplest form.\newlinej=j = _____ or j=j = _____

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Q. Solve for jj.\newline∣j+3∣=5|j + 3| = 5\newlineWrite your answers as integers or as proper or improper fractions in simplest form.\newlinej=j = _____ or j=j = _____
  1. Understand absolute value equation: Understand the absolute value equation.\newlineThe equation ∣j+3∣=5|j + 3| = 5 means that the quantity inside the absolute value, j+3j + 3, is 55 units away from 00 on the number line. This can happen in two ways: either j+3=5j + 3 = 5 or j+3=−5j + 3 = -5.
  2. Solve first possible equation: Solve the first possible equation.\newlineLet's first consider the case where j+3=5j + 3 = 5.\newlineSubtract 33 from both sides to isolate jj.\newlinej+3−3=5−3j + 3 - 3 = 5 - 3\newlinej=2j = 2
  3. Solve second possible equation: Solve the second possible equation.\newlineNow consider the case where j+3=−5j + 3 = -5.\newlineSubtract 33 from both sides to isolate jj.\newlinej+3−3=−5−3j + 3 - 3 = -5 - 3\newlinej=−8j = -8

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