The solution to the given system of inequality is x > 0 and x> 3
Inequality expression
Inequalities are equation noe separated by an equal sign
Given the inequality expression
5 + 1/x > 16/x
5 > 16/x - 1/x
5 > 15/x
Cross multiply
5x^2 > 15x
5x^2 - 15x > 0
5x(x-3)>0
5x > 0 and x - 3>0
x > 0 and x> 3
Hence the solution to the given system of inequality is x > 0 and x> 3
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