Question

Find all positive integers x for which it’s possible….(see photo)

Answer 1

Given:-

`(2x+3),(3x+8),(6x+7)`

To find:-

The possible value of x.

The property of triangle is sum of two sides of the triangle is greater than the other sides. so we get,

`\begin{gathered} 2x+3+3x+8>6x+7 \\ 5x+11>6x+7 \\ 11-7>6x-5x \\ 4>x \end{gathered}`

So the positive values are,

`1,2,3`