Question

Solve the following system of equations in R.

$4x-1\le 0,3-4x<0$

Answer 1

Consider the first inequation,

$4x-1\le 04x>-1-5x\le -15x\le \frac{1}{4}...\left(i\right)$

Consider the second inequation,

3-4x<0

-4x<-3

$-x<\frac{-3}{4}x>\frac{3}{4}...\left(ii\right)$

From (i) and (ii),there is no solution set of the simultaneous equations.