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Determine the value of y, if x is -11 . y=|x|+12 Answer:

Determine the value of y y , if x x is −11-11 .\newliney=∣x∣+12 y=|x|+12 \newlineAnswer:

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Evaluate absolute value expressionsright chevron icon

Full solution

Q. Determine the value of y y , if x x is −11-11 .\newliney=∣x∣+12 y=|x|+12 \newlineAnswer:
  1. Identify Absolute Value: Identify the absolute value operation in the equation.\newlineThe equation y=∣x∣+12y = |x| + 12 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 −11-11, we substitute −11-11 for xx in the equation to get y=∣−11∣+12y = |-11| + 12.
  3. Calculate Absolute Value: Calculate the absolute value of xx. The absolute value of −11-11 is 1111, so the equation becomes y=11+12y = 11 + 12.
  4. Add to Find yy: Add 1111 and 1212 to find the value of yy.\newlineAdding 1111 and 1212 gives us y=23y = 23.

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