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Which of the following is a solution to the inequality below?\newlinej<8\newlineChoices:\newline(A) j=5j=5\newline(B) j=8j=8\newline(C) j=12j=12\newline(D) j=4j=4

Full solution

Q. Which of the following is a solution to the inequality below?\newlinej<8j<8\newlineChoices:\newline(A) j=5j=5\newline(B) j=8j=8\newline(C) j=12j=12\newline(D) j=4j=4
  1. Understand the inequality: Understand the inequality j < 8\newlineWhat does this inequality represent?\newlinej < 8 means that jj must be a number less than 88.
  2. Evaluate choices: Evaluate the choices to find which one satisfies the inequality j < 8.\newline(A) j=5j=5: Check if 55 is less than 88.\newline5 < 8 is true.
  3. Check solution for j=5j=5: Since 55 is less than 88, choice (A) j=5j=5 is a solution to the inequality.\newlineHowever, we should check all options to ensure we identify all possible solutions.
  4. Check solution for j=8j=8: Evaluate choice (B) j=8j=8.\newlineCheck if 88 is less than 88.\newline8 < 8 is not true, since 88 is equal to 88, not less than it.
  5. Check solution for j=12j=12: Evaluate choice (C) j=12j=12.\newlineCheck if 1212 is less than 88.\newline12 < 8 is not true, since 1212 is greater than 88.
  6. Check solution for j=4j=4: Evaluate choice (D) j=4j=4.\newlineCheck if 44 is less than 88.\newline4 < 8 is true.
  7. Identify possible solutions: Since 44 is less than 88, choice (D) j=4j=4 is also a solution to the inequality.\newlineNow we have identified two possible solutions: (A) j=5j=5 and (D) j=4j=4.

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