SOLUTION: When solved for x, the solution set for |7x-3|greater than or equal to |2x+5| is {x:x greater than or equal to k or x greater than or equal to w}. Find the sum (k+w). Express your

Algebra ->  Equations -> SOLUTION: When solved for x, the solution set for |7x-3|greater than or equal to |2x+5| is {x:x greater than or equal to k or x greater than or equal to w}. Find the sum (k+w). Express your       Log On


   

Question 946202: When solved for x, the solution set for |7x-3|greater than or equal to |2x+5| is {x:x greater than or equal to k or x greater than or equal to w}. Find the sum (k+w). Express your answer as a common or improper fraction reduced to lowest terms. Thanks for your help.
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Solving,
Positive solution:
7x-3%3E=2x%2B5
5x%3E=8
x%3E=8%2F5
.
.
Negative solution:
-%287x-3%29%3E=2x%2B5
7x-3%3C=-2x-5
9x%3C=-2
x%3C=-2%2F9
So then,
k%2Bw=8%2F5-2%2F9=72%2F45-10%2F45=62%2F45