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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]