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Determine the value of y, if x is -8 . y=|x|+1 Answer:

Determine the value of y y , if x x is −8-8 .\newliney=∣x∣+1 y=|x|+1 \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∣+1 y=|x|+1 \newlineAnswer:
  1. Identify Absolute Value: Identify the absolute value operation in the equation.\newlineThe equation y=∣x∣+1y=|x|+1 includes an absolute value operation, which means we take the non-negative value of xx, regardless of its original sign.
  2. Substitute Value of xx: 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∣+1y=|-8|+1.
  3. Calculate Absolute Value: Calculate the absolute value of xx. The absolute value of −8-8 is 88, because absolute value is the distance a number is from zero on the number line, without considering direction. So, y=8+1y=8+1.
  4. Add 11 to Absolute Value: Add 11 to the absolute value of xx. After calculating the absolute value, we add 11 to it, which gives us y=8+1=9y=8+1=9.

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