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Determine the value of y, if x is 2. y=|x-2| Answer:

Determine the value of y y , if x x is 22.\newliney=∣x−2∣ y=|x-2| \newlineAnswer:

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Evaluate absolute value expressionsright chevron icon

Full solution

Q. Determine the value of y y , if x x is 22.\newliney=∣x−2∣ y=|x-2| \newlineAnswer:
  1. Identify Equation and Value: Identify the given equation and the value of xx. The equation given is y=∣x−2∣y = |x - 2|, and we are told that xx is 22.
  2. Substitute Value: Substitute the value of xx into the equation.\newlineSubstitute x=2x = 2 into the equation to get y=∣2−2∣y = |2 - 2|.
  3. Simplify Expression: Simplify the expression inside the absolute value. Calculate 2−22 - 2 to get 00, so y=∣0∣y = |0|.
  4. Evaluate Absolute Value: Evaluate the absolute value of 00. The absolute value of 00 is 00, so y=0y = 0.

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