Question

Solve the inequality.

Answer 1

The Answer is(explained in image)

X=7/2

Answer 2

Answer:

x ∈ ( - 2 , 5 )

Step-by-step explanation:

Given :

( x - 5 ) / ( x + 2 ) < 0

For critical point :

x - 5 = 0

= > x = 5

x + 2 = 0

= > x = - 2

We we plot - 2 and 5 on number line , we see the right side sign is positive ( after 5 ) , left side sign is positive ( after - 2 ) and in between - 2 and 5 sign is negative!

We need negative sign one!

So solution set x ∈ ( - 2 , 5 )