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What does the set \{x | x < 8\} represent?\newlineChoices:\newline(A)all numbers less than or equal to 88 \newline(B)all numbers less than 88 \newline(C)all numbers equal to 88 \newline(D)all numbers greater than 88

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Q. What does the set {x∣x<8}\{x | x < 8\} represent?\newlineChoices:\newline(A)all numbers less than or equal to 88 \newline(B)all numbers less than 88 \newline(C)all numbers equal to 88 \newline(D)all numbers greater than 88
  1. Understand set notation: Understand the set notation.\newlineThe set {x | x < 8} uses the inequality sign < which means less than\text{less than}. This set includes all numbers that are less than 88.
  2. Match set notation to choices: Match the set notation to the given choices.\newlineWe need to find which choice correctly describes the set of numbers less than 88.\newline(A) ＂all numbers less than or equal to 88＂ includes 88, which does not match our set because our set does not include 88.\newline(B) ＂all numbers less than 88＂ matches our set notation exactly.\newline(C) ＂all numbers equal to 88＂ does not match because our set does not include the number 88 itself.\newline(D) ＂all numbers greater than 88＂ is the opposite of what our set represents.

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