SOLUTION: Hi, could you help me with this problem? "Find the largest set of three consecutive even integers such that the sum of the third and twice the first is at least four times the sec

Algebra ->  Expressions-with-variables -> SOLUTION: Hi, could you help me with this problem? "Find the largest set of three consecutive even integers such that the sum of the third and twice the first is at least four times the sec      Log On


   



Question 1018845: Hi, could you help me with this problem?
"Find the largest set of three consecutive even integers such that the sum of the third and twice the first is at least four times the second."
Thanks!

Found 2 solutions by Boreal, MathTherapy:
Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
integers are x, x+1, and x+2
sum of the third and twice the first is (x+2)+2x>=4(x+1), at least means equal to or greater than.
3x+2>=4x+4
-x>=2
x<=-2
-2,-1,0 should work
sum of 0 and 2(-2) is greater than or equal to 4(-1) yes.
1,2,3 should not work
3+2 not greater than 4(2)

Answer by MathTherapy(10555) About Me  (Show Source):
You can put this solution on YOUR website!

Hi, could you help me with this problem?
"Find the largest set of three consecutive even integers such that the sum of the third and twice the first is at least four times the second."
Thanks!
Largest of the 3: highlight%28highlight_green%28highlight%280%29%29%29