Question

PLS ANSWER!!!!!!!!!!!!!!!!!!!!!!!!!!

Answer 1

1. 8 < a+b < 16
2. -6 < a-b < 2
3. 15 < ab < 63
4. 1/3 < a/b < 7/5

Explanation:

Given the variables {a, b} lie in the intervals {(3, 7), (5, 9)}, respectively, you want the range of possible values of ...

1. a+b
2. a-b
3. ab
4. a/b

1. Sum

The limits of the sum will be the sum of the minima to the sum of the maxima:

3+5 < a+b < 7+9

8 < a+b < 16

2. Difference

The smallest difference is found when the largest value is subtracted from the smallest. Similarly, the largest difference will be the difference between the smallest value and the largest:

3 -9 < a-b < 7 -5

-6 < a-b < 2

3. Product

The limits on the product will use the same values as the limits on the sum:

3·5 < ab < 7·9

15 < ab < 63

4. Quotient

And the limits on the quotient will use the same values as the limits on the difference:

3/9 < a/b < 7/5

1/3 < a/b < 7/5

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