Given that 3≤x≤5 and -4≤y≤-1, the greatest possible value of x/y is:
Correct answer: D. -3/4
- A. -1/4
- B. -2/5
- C. -3/5
- D. -3/4
Explanation
To find the greatest possible value of the fraction x/y, where x and y are bounded by the given inequalities, we should consider the smallest value for x and the largest value for y. This is because the fraction x/y will be negative, and a negative fraction is greatest when it is closest to zero.Given the constraints, the smallest value of x is 3 and the largest value of y is -4, resulting in the fraction 3/-4 = -0.75, which is -3/4.Other options such as -1/4, -2/5, and -3/5 are not the greatest possible values because their absolute values are larger (i.e., further from zero) than -3/4.
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