SOLUTION: Hi! i really need your help. I have to solve the following inequality, write the solution set in interval notation: 3+2(x-1)<5+8(x-2) Thanks So Much

Algebra ->  Linear-equations -> SOLUTION: Hi! i really need your help. I have to solve the following inequality, write the solution set in interval notation: 3+2(x-1)<5+8(x-2) Thanks So Much      Log On


   

Question 179058: Hi! i really need your help. I have to solve the following inequality, write the solution set in interval notation:
3+2(x-1)<5+8(x-2)
Thanks So Much
Found 2 solutions by Mathtut, solver91311:
Answer by Mathtut(3670) About Me  (Show Source):
You can put this solution on YOUR website!
3+2(x-1)<5+8(x-2)
:
3+2x-2<5+8x-16....distributed terms
:
1+2x<-11+8x.....collected like terms on either side
:
-6x<-12.....subtracted 8x and 1 from both sides
:
highlight%28x%3E2%29 remember that when you divide or multiply an inequality by a negative the inequality has to be reversed
:
(2,infinity)

Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!




First get rid of the parentheses using the distributive property:



Collect:



Add -8x and -1 to both sides:





Multiply by and remember to reverse the sense of the inequality because of multiplying by a number less than zero.



Interval notation:

Set builder notation: