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