Question

I have a half-full bottle of water and it has more than 8 ounces in it. What would be the expression

Answer 1

The equivalent expression is
`(1)/(2)\cdot V_(max) > 8\,oz`.

Explanation:

The best approach consists in translating the sentence given in the question into mathematical terms until an expression is complete:

(i) I have a half-full bottle of water

Translation: I use a bottle with a maximum volume capacity
`V_(max)`, measured in ounces, a half of it is full of water:

`(1)/(2)\cdot V_(max)`

(ii) And it has more than 8 ounces in it

Translation: The volume occupied by the water is greater than 8 ounces. Hence, we get the following inequation:

`(1)/(2)\cdot V_(max) > 8\,oz`