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Determine the value of y, if x is -4 . y=|x|+2 Answer:

Determine the value of y y , if x x is −4-4 .\newliney=∣x∣+2 y=|x|+2 \newlineAnswer:

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Full solution

Q. Determine the value of y y , if x x is −4-4 .\newliney=∣x∣+2 y=|x|+2 \newlineAnswer:
  1. Identify Absolute Value Operation: Identify the absolute value operation in the equation.\newlineThe equation y=∣x∣+2y = |x| + 2 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 −4-4, we substitute −4-4 for xx in the equation to get y=∣−4∣+2y = |-4| + 2.
  3. Evaluate Absolute Value of xx: Evaluate the absolute value of xx. The absolute value of −4-4 is 44, so the equation becomes y=4+2y = 4 + 2.
  4. Perform Addition: Perform the addition to find the value of yy.\newlineAdding 44 and 22 gives us y=6y = 6.

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