Which graph shows the solution set of x-9/7x+2< =0

For this case we have the following inequality:
 
 Solving for the numerator we have:
 
 
 Solving for the denominator we have:
 
 
 
 Therefore, the solution is given by:
 
 The graph that shows this solution is the graphic number 3.
 
 option 3

We have that
(x-9)/(7x+2)<=0

we know that
the denominator cannot be zero, therefore the value of x = -2 /7 cannot belong to the domain of the function
7x+2=0> x=-2/7> x=-0.29

using a graph tool
see the attached figure

the solution is the interval
(-2/7, 9]> (-0.29, 9]
the value of -0.29 is not included in the solution

therefore 
the answer is the third option

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