Question

The number of integral solutions of
x+8/
x-2> 2 is​

Answer 1

Step-by-step explanation:

x 2 +9<(x+3)

2 <8x+25

⇒x

2 +9<(x+3)

2 <9

⇒x

2 +9<x

2+9+6x

⇒6x>0

⇒x>0

Also (x+3)

2 <8x+25

⇒x

2 −2x−16<0

⇒1− 17

<x<1+ 17

But x>0

⇒0<x<1+

17

⇒x∈(0,1+ 17

So the integer values in our domain are 1,2,3,4,5