Solve the inequality 5/(x+3)<2

 Exercise

$\frac{5}{x+3}<2$

 

Inverting the inequation

$\frac{x+3}{5}>\frac{1}{2}$

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Moving the $5$ multiplying to the other side of the inequation

$x+3>5\left(\frac{1}{2}\right)$

 

Multiply the fraction and term in $5\left(\frac{1}{2}\right)$

$x+3>\frac{5}{2}$

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Moving the term $3$ to the other side of the inequation with opposite sign

$x>\frac{5}{2}-3$

 

Simplify the addition $\frac{5}{2}-3$

$x>-\frac{1}{2}$

$x>-\frac{1}{2}$

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