Thread: Solve the following inequality

(3a+7)/(a+4) >= 0

I forgot the step to solve the problem , please help me !!!

Originally Posted by hoanghai549

(3a+7)/(a+4) >= 0

You want to insure that both of are true
or both are true.

So It means I have to solve the two above conditions or just use the one thing ?

Originally Posted by hoanghai549

So It means I have to solve the two above conditions or just use the one thing ?

There will be two different intervals in the solution set.
So solve both and unite.

nice thanks for your help

deleted

Originally Posted by hoanghai549

(3a+7)/(a+4) >= 0

Look at the numerator and the denominator.
If both have the same sign then the inequality is true.
It is easy to see that if then both are negative.
If then both are non-negative.

Write the solution set as .

There is no complicated calculation necessary.