Question

Solve for x -25x+175>225 and 5x-83>-73

Answer 1

NO solution

Explanation:

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Answer 2

NO SOLUTION

Explanation:

`-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.}`

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