SOLUTION: 8(.09-.7x)+1.259<=.091+18x Solve and put in interval format Please help! I'm missing something! I tried .72-5.6x+1.259<=.091+18x -5.6x+1.979<=.091+18x -5.6x+1.888<=18x 1.888

Algebra ->  Inequalities -> SOLUTION: 8(.09-.7x)+1.259<=.091+18x Solve and put in interval format Please help! I'm missing something! I tried .72-5.6x+1.259<=.091+18x -5.6x+1.979<=.091+18x -5.6x+1.888<=18x 1.888      Log On


   

Question 99757: 8(.09-.7x)+1.259<=.091+18x
Solve and put in interval format
Please help! I'm missing something!
I tried
.72-5.6x+1.259<=.091+18x
-5.6x+1.979<=.091+18x
-5.6x+1.888<=18x
1.888<=23.6x
.08<=x
x>=.08
[.08, inf)
Found 2 solutions by jim_thompson5910, stanbon:
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
8%28.09-.7x%29%2B1.259%3C=.091%2B18x Start with the given inequality


.72-5.6x%2B1.259%3C=.091%2B18x Distribute

720-5600x%2B1259%3C=91%2B18000x Multiply both sides by 1000. This will eliminate all of the decimals


-5600x%2B1979%3C=91%2B18000x Combine like terms on the left side


-5600x%3C=91%2B18000x-1979Subtract 1979 from both sides


-5600x-18000x%3C=91-1979 Subtract 18000x from both sides


-23600x%3C=91-1979 Combine like terms on the left side


-23600x%3C=-1888 Combine like terms on the right side


x%3E=%28-1888%29%2F%28-23600%29 Divide both sides by -23600 to isolate x (note: dividing by both sides by a negative number flips the inequality sign)

x%3E=0.08 Divide

So our answer is x%3E=0.08 which is


[)

in interval notation

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
That looks good.
Cheers,
Stan H.