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- Homework Statement
- Solve the inequality;

$$\dfrac {7x+12} {x}≥ 3$$

- Relevant Equations
- inequalities

##7x+12≥3x##

##7x−3x≥−12##

##4x≥−12##

→ ##x≥−3##

or ## 12/x≥-4##

##7x−3x≥−12##

##4x≥−12##

→ ##x≥−3##

or ## 12/x≥-4##

**but**by substituting say## x=−4## we see that it also satisfies the equation implying that my solution may not be correct.
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