How do you solve 6/x+2>=0?

1 Answer
Apr 20, 2017

x>0 and x leq -3

Explanation:

Notice that this inequality is defined for xne 0.

By simple calculation we reduce to the form we need to study:

1/xgeq -1/3

so if x>0 it is always true.

Let x<0, so multiplying by x affects the sign:

1/xgeq -1/3 Leftrightarrow 1leq-1/3x Leftrightarrow -3 geq x