Cuál es el menor número entero que, disminuido en 8, resulta menor que su triple

-3

Step-by-step explanation:

Let x = the number

Then 3x = its triple, and the condition is:

x - 8 < 3x

Subtract x from each side

-8 < 2x

Divide each side by 2

-4 < x

Reverse the inequality

x > - 4

The smallest integer greater than - 4 is - 3.

Check:

-3 - 8 < 3 (-3)

-11 < - 9

It checks.