Question

What is the smallest integer value of r for which it is true that -2.5 < r < 7?

Answer 1

`r = -2`

Explanation:

Given

`-2.5 < r < 7`

Required

Determine the smallest value or r

For an inequality
`a < r < b`

The smallest value is represented as:

`r>a`

In this case:

`a = -2.5`

`b = 7`

So:

`r>a` becomes

`r > -2.5`

r > -2.5 implies that the value of r is greater than -2.5

The smallest integer value after -2.5 is -2

Hence, the smallest value of r in this case is:

`r = -2`