Question

10 POINTS! PLS HELP! If 4 < a < 5 and 5 < b < 8, which of the following best describes a-b?

a) between -4 and -8

b) between -4 and 0

c) between 2 and 3

d) between -1 and 0

I don't know how to do this, so pls explain how to do it in your answer :)

Answer 1

B

Explanation:

Answer 2

Between -4 and 0

Explanation:

Hey! I saw your most recent and I'm assuming it is this question we're talking about it so let's help you with that!

Let's start by looking at what each of them mean, the first one means that 4 is lower than a but a is lower than 5 (Inequality 1) The second one means 5 is lower than b but b is lower than 8 (Inequality 2). Now, in order to find out
`a-b`, we need to find the largest and smallest value of
`a-b`. The reason why we do this is because we want to look for the range of what
`a-b` can give us and in finding the largest and smallest value, if we were to evaluate both inequality 1 and 2 using
`a-b`, we know that it can't be beyond the largest value or smaller than the lowest value.

In order to figure out the largest possible value of
`a-b`, we need to take the maximum x value of inequality 1 and subtract it by the minimum y value of inequality 2, so we get:

`5-5=0`

In order to figure out the smallest possible value of
`a-b`, we need to take the minimum x value of inequality 1 and subtract it by the maximum y value of inequality 2, so we get:

`4-8=-4`

So, in this case! The answer is b) between -4 and 0