Answer:
NO SOLUTION
Step-by-step explanation:
[tex]-25x+175>225\ \wedge\ 5x-83>-73\\---------------\\-25x+175>225\qquad\text{subtract 175 from both sides}\\\\-25x>50\qquad\text{change the signs}\\\\25x<-50\qquad\text{divide both sides by 25}\\\\\boxed{x<-2}\\------------\\5x-83>-73\qquad\text{add 83 to both sides}\\\\5x>10\qquad\text{divide both sides by 5}\\\\\boxed{x>2}\\\\\text{We have}\ x<-2\ \text{and}\ x>2,\\ \text{therefore this system of inequalities have no solution.}[/tex]
[tex]\text{We have inequalities connected by the word "and"},\\\text{ therefore x must be the solution of both the first}\\\text{ and the second inequality.}[/tex]
