1/2x+1/3x>-10

Question

 The question is like this:

 

1 over 2 x plus 1 over 3 x is greater than -10.

Solve x

Answer 1

Hunter,

 

1/2x +1/3x

You have 1/x on both terms. Take it out as common factor and you will have:

1/x(1/2 +1/3)

now multiply 1/2 by 3/3 and 1/3 by 2/2 so that you end up with having same denominator

1/x(1/2(3/3) + 1/3(2/2)

1/x(3/6 + 2/6)

now add 3/6 and 2/6. because they have same denominator you just add the numerator

1/x(5/6) or 5/6x > -10

multiply both sides by 6x and you get:

5>-60x

divide both sides by -60 and do not forget to revers the sign here because you are multiplying a negative

1/12<x, or

x>1/12

I hope this helps