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Determine the value of y, if x is -2 . y=|x+11| Answer:

Determine the value of y y , if x x is −2-2 .\newliney=∣x+11∣ y=|x+11| \newlineAnswer:

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Full solution

Q. Determine the value of y y , if x x is −2-2 .\newliney=∣x+11∣ y=|x+11| \newlineAnswer:
  1. Identify Given Values and Expression: Identify the given values and the expression for yy. We are given that xx is −2-2 and the expression for yy is the absolute value of xx plus 1111, which is written as y=∣x+11∣y = |x + 11|.
  2. Substitute Value of xx: Substitute the value of xx into the expression for yy. Since xx is −2-2, we substitute −2-2 for xx in the expression to get y=∣−2+11∣y = \lvert -2 + 11 \rvert.
  3. Simplify Expression: Simplify the expression inside the absolute value. ∣−2+11∣|-2 + 11| simplifies to ∣9∣|9|, because −2+11-2 + 11 equals 99.
  4. Evaluate Absolute Value: Evaluate the absolute value.\newlineThe absolute value of 99 is 99, because 99 is already a positive number. So, y=∣9∣=9y = |9| = 9.

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