Question

What is the solution of f(x) 1/x + 1/3<1/5 ?

a. -15/2 < x <0
b.-15/2 <= x <0
c. x < -15/2 or x > 0
d. x <= -15/2 or x > 0

please help and thank you

Answer 1

this expresson and polynomial can not be factored with rational numbers

Answer 2

x<-15/2

Explanation:

We can get rid of the fractions by multiplying f(x) by 15x:

15+5x<3x

Solve for x:

5x-3x<-15

2x<-15

x<-15/2

Therefore x must be smaller than -15/2. If x<0 or x>0 it doesnt satisfy the inequality.