If 4 ≤ x ≤ 8 and 2 ≤ y ≤ 7 , then what is the ratio of maximum value of (x + y) to minimum value of (x - y) ?

Question

Accepted Answer

To find the ratio, we first need to determine the maximum value of (x + y) and the minimum value of (x - y).

Given ranges:
4 <= x <= 8
2 <= y <= 7

1.  Maximum value of (x + y):
    To maximize (x + y), we take the maximum possible values for both x and y.
    Max (x + y) = x_max + y_max = 8 + 7 = 15.

2.  Minimum value of (x - y):
    To minimize (x - y), we take the minimum possible value for x and the maximum possible value for y. This makes the subtracted part as large as possible, resulting in the smallest difference.
    Min (x - y) = x_min - y_max = 4 - 7 = -3.

3.  Ratio of maximum value of (x + y) to minimum value of (x - y):
    Ratio = (Max (x + y)) / (Min (x - y))
    Ratio = 15 / (-3)
    Ratio = -5

Now, let's check the given options:
A) 6
B) (15)/(2) = 7.5
C) -(15)/(2) = -7.5
D) None of the above

Our calculated ratio is -5, which is not present in options A, B, or C. Therefore, the correct answer is D.

Answer

6

Answer

(15)/(2)

Answer

-(15)/(2)

Answer

None of the above

If 4 ≤ x ≤ 8 and 2 ≤ y ≤ 7 , then what is the ratio of maximum value of (x + y) to minimum value of (x - y) ?

Explanation

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