Question

Solve the following system of equations in R.

$\frac{7x-1}{2}<-3,\frac{3x+8}{5}+11<0$

Answer 1

Consider the first inequation,

$\frac{7x-1}{2}<-37x-1<-67x<-6+17x<-5x<\frac{-5}{7}...\left(i\right)$

Consider the second inequation,

$\frac{3x+8}{5}+11<0\frac{3x+8+55}{5}<0\frac{3x+63}{5}<\frac{0}{1}3x+63<03x<-63x<-21...\left(ii\right)$

From (i) and (ii),$(-\infty ,-21)$ is the solution set of the simultaneous equations.