SOLUTION: SOLVE AND GRAPH THE SOLUTION SET OF EACH OF THE FOLLOWING INEQUALITIES 7(x-3) > 5x - 14

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equation Customizable Word Problems -> SOLUTION: SOLVE AND GRAPH THE SOLUTION SET OF EACH OF THE FOLLOWING INEQUALITIES 7(x-3) > 5x - 14      Log On


   

Question 117254: SOLVE AND GRAPH THE SOLUTION SET OF EACH OF THE FOLLOWING INEQUALITIES
7(x-3) > 5x - 14
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

7%28x-3%29%3E5x-14 Start with the given inequality



7x-21%3E5x-14 Distribute


7x%3E5x-14%2B21Add 21 to both sides


7x-5x%3E-14%2B21 Subtract 5x from both sides


2x%3E-14%2B21 Combine like terms on the left side


2x%3E7 Combine like terms on the right side


x%3E%287%29%2F%282%29 Divide both sides by 2 to isolate x



x%3E7%2F2 Reduce

--------------------------------------------------------------
Answer:
So our answer is x%3E7%2F2 (which is approximately x%3E3.5 in decimal form)