SAT Math Multiple Choice Question 624: Answer and Explanation

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Question: 624

9. If Images, where m > 0, what is the least possible value of m?

  • A. 6.5
  • B. 7
  • C. 7.5
  • D. 8

Correct Answer: C

Explanation:

C

Advanced Mathematics (rational inequalities) MEDIUM

Original inequality:

Images

Multiply by 3m (since m > 0, we don't "flip" the inequality):

15 ≤ 2m

Divide by 2:

7.5 ≤ m

Therefore, the least possible value of m is 7.5.

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