10(1/5a+4)<10(1/5a-3)
$$\\10(\frac{a}{5}+4)<10(\frac{a}{5}-3)\\$$
divide both sides by 10
$$\frac{a}{5}+4<\frac{a}{5}-3\\\\$$
subtract a/5 from both sides
4<-3
this is NEVER true
No solution.
Perhaps this is not the question that you intended? Perhaps you needed to use more brackets?
10(1/5a+4)<10(1/5a-3)
$$\\10(\frac{a}{5}+4)<10(\frac{a}{5}-3)\\$$
divide both sides by 10
$$\frac{a}{5}+4<\frac{a}{5}-3\\\\$$
subtract a/5 from both sides
4<-3
this is NEVER true
No solution.
Perhaps this is not the question that you intended? Perhaps you needed to use more brackets?