Inequalities (System) (solving it)

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.

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

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