Question

PLS HELP WILL GIVE BRAINLESS

Given 4 < a < 5, 2 < b < 4 Find: a / b

Answer 1

I hope this helps!

Explanation:

4<a<5

2<b<4 multiply

4x2 < axb < 5x4

8<ab < 20

Answer 2

1<a/b<2.5

Explanation:

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We are given 4<a<5 and 2<b<4 and are asked to find a/b.

Since there is a wide range of values of numbers from 4 to 5 and 2 to 4, there is no definite answer to this. However, we can take the most extreme values here and write them on the opposite ends of the inequality.

For example, the lowest value here is >4/4 (>1) because that is the smallest value from the first inequality divided by the largest value from the second inequality. The other extreme is the biggest value possible, which is <5/2 (<2.5).

Given these extremes, we can now rewrite the inequality.

(smallest value)<a/b<(largest value)

1<a/b<2.5