34
QuizMultiple Choice

N/A — Exam

Question 34 • Algebraic Reasoning

If three times a number is at least four more than eight times the number, which of the following is true?

Answer
A
The number is at least four-fifths.
B
The number is at least negative four-fifths.
C
The number is at most four-fifths.
D
The number is at most negative four-fifths.

Explanation

Let the number be x. “Three times a number is at least four more than eight times the number” means 3x ≥ 8x + 4. Subtracting 8x gives −5x ≥ 4; dividing by −5 reverses the inequality, so x ≤ −4/5. Therefore, the number is at most negative four-fifths.

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