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Determine the value of y, if x is -8 . y=|x|+2 Answer:

Determine the value of y y , if x x is −8-8 .\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 −8-8 .\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 includes an absolute value operation, which means we take the non-negative value of xx, regardless of its original sign.
  2. Substitute xx into equation: Substitute the value of xx into the equation.\newlineSince xx is given as −8-8, we substitute −8-8 for xx in the equation to get y=∣−8∣+2y = |-8| + 2.
  3. Calculate absolute value of xx: Calculate the absolute value of xx. The absolute value of −8-8 is 88, so the equation becomes y=8+2y = 8 + 2.
  4. Add 22 to absolute value of x: Add 22 to the absolute value of xx.\newlineAdding 22 to 88 gives us y=10y = 10.

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