Question

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

Answer 1

Answer:

NO SOLUTION

Step-by-step explanation:

$-25x+175>225\ \wedge\ 5x-83>-73\\---------------\\-25x+175>225\qquad\text{subtract 175 from both sides}\\\\-25x>50\qquad\text{change the signs}\\\\25x10\qquad\text{divide both sides by 5}\\\\\boxed{x>2}\\\\\text{We have}\ x2,\\ \text{therefore this system of inequalities have no solution.}$

$\text{We have inequalities connected by the word "and"},\\\text{ therefore x must be the solution of both the first}\\\text{ and the second inequality.}$