48
QuizMultiple Choice

Cumulative Exam — Cumulative exam

Question 48 • AZ-Algebra 2A (MA301)

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 negative four-fifths.
B
The number is at most four-fifths.
C
The number is at least 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” gives 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, which is choice D.

AI-written and checked against the verified answer.

Previous
Next