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Determine the value of y, if x is -3 . y=|x|+3 Answer:

Determine the value of y y , if x x is −3-3 .\newliney=∣x∣+3 y=|x|+3 \newlineAnswer:

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Evaluate absolute value expressionsright chevron icon

Full solution

Q. Determine the value of y y , if x x is −3-3 .\newliney=∣x∣+3 y=|x|+3 \newlineAnswer:
  1. Identify Absolute Value: Identify the absolute value operation in the equation.\newlineThe equation y=∣x∣+3y = |x| + 3 contains an absolute value operation, which means we take the non-negative value of xx, regardless of its actual sign.
  2. Substitute Value of xx: Substitute the value of xx into the equation.\newlineSince xx is given as −3-3, we substitute −3-3 for xx in the equation to get y=∣−3∣+3y = |-3| + 3.
  3. Evaluate Absolute Value: Evaluate the absolute value of xx. The absolute value of −3-3 is 33, so the equation becomes y=3+3y = 3 + 3.
  4. Perform Addition: Perform the addition to find the value of yy. Adding the numbers together gives us y=6y = 6.

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