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Solve for zz.\newline∣z+3∣=1|z + 3| = 1\newlineWrite your answers as integers or as proper or improper fractions in simplest form.\newlinez=z = _____ or z=z = _____

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Q. Solve for zz.\newline∣z+3∣=1|z + 3| = 1\newlineWrite your answers as integers or as proper or improper fractions in simplest form.\newlinez=z = _____ or z=z = _____
  1. Understand absolute value equation: Understand the absolute value equation.\newlineThe equation ∣z+3∣=1|z + 3| = 1 means that the quantity z+3z + 3 is 11 unit away from 00 on the number line. This can happen in two ways: either z+3z + 3 is 11 or z+3z + 3 is −1-1.
  2. Solve for positive z: Solve for z when z+3z + 3 is positive.\newlineIf z+3=1z + 3 = 1, then we subtract 33 from both sides to find the value of z.\newlinez+3−3=1−3z + 3 - 3 = 1 - 3\newlinez=−2z = -2
  3. Solve for negative zz: Solve for zz when z+3z + 3 is negative.\newlineIf z+3=−1z + 3 = -1, then we subtract 33 from both sides to find the value of zz.\newlinez+3−3=−1−3z + 3 - 3 = -1 - 3\newlinez=−4z = -4

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