Respuesta :

MrRoyal

Answer:

[tex]r = -2[/tex]

Step-by-step explanation:

Given

[tex]-2.5 < r < 7[/tex]

Required

Determine the smallest value or r

For an inequality [tex]a < r < b[/tex]

The smallest value is represented as:

[tex]r>a[/tex]

In this case:

[tex]a = -2.5[/tex]

[tex]b = 7[/tex]

So:

[tex]r>a[/tex] becomes

[tex]r > -2.5[/tex]

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:

[tex]r = -2[/tex]

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