Identify which is a solution of the inequality x7x2 greatert

Identify which is a solution of the inequality x+7/x-2 greaterthanorequalto 0 Select one: 2 -1 -10 -2 None of the above

Solution

(x+7)/(x-2)>=0

testing points x=-7 , 2

testing regions

(- infinity,-7) ,(-7,2),(2,infinity)

and on taking x=-10 we will get

-3/-5=3/5>0

therefore the correct option is c.