Solve the system of inequalities and indicate all the integers which are in the solution set: \begin{align*} 3−2a&<13 \\ 5a&<17 \end{align*}

I solved it then i realized it said indicate all the integer. How do i write this?

I got $-5<a<3.4$ Please help.

  • 1
    $\begingroup$ Do you know the definition of integer? $\endgroup$ – DylanSp Feb 4 '16 at 19:47
  • $\begingroup$ Formatting tips here. $\endgroup$ – Em. Feb 4 '16 at 19:53

$$3-2a<13 \Rightarrow a>-5$$ $$5a<17 \Rightarrow a<3.4$$ The integer solutions are thus $\{-4,-3,-2,-1,0,1,2,3\}$


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