SOLUTION: Find the three smallest consecutive odd integers such that their sum is at least 40. (Let x = the first odd integer) I've tried x+x+2+x+4 is greater than or equal to 40 3x + 6

Question 78582This question is from textbook Algebra Structure & Method
: Find the three smallest consecutive odd integers such that their sum is at least 40. (Let x = the first odd integer)
I've tried x+x+2+x+4 is greater than or equal to 40
3x + 6 is greater than or equal to 40
3x is greater than or equal to 34
x is greater than or equal to 11.33333 This question is from textbook Algebra Structure & Method

Answer by checkley75(3666) (Show Source): You can put this solution on YOUR website!
X+(X+2)+(X+4)>=40
3X+6>=40
3X>=40-6
3X>=34 YOU ARE CORRECT. HOWEVER THE ANSWER REMAINS THE SAME.
X>=34/3
X=11.33333 THE NEXT ODD NUMBER IS THE SMALLEST ODD NUMBER THAT MEETS THE REQUIREMENTS. THUS THE THREE NUMBERS ARE
13,15,17.
PROOF
13+15+17>=40
45>=40
-------------------------------
SORRY ABOUT THAT MY MIND SLIPPED.

RELATED QUESTIONS
Find three consecutive odd integers such that the third integer is 3 times the first... (answered by josgarithmetic)

Find three consecutive odd integers such that the sum of the first and third integers is... (answered by nvela)

Three consecutive odd integers are such that their sum is more than 57 decreased by twice (answered by stanbon,TeachMath)

what is the answer to this question? Find three consecutive odd positive integers such (answered by Alan3354)

Help please Find three consecutive odd positive integers such that 2 times the sum of... (answered by josgarithmetic,MathTherapy)

Find three consecutive odd positive integers such that 5 times the sum of all three is 60 (answered by josgarithmetic,MathTherapy)

Find three consecutive odd integers such that the sum of the smallest and largest is... (answered by swincher4391)

Find three consecutive odd integers such that their sum is five more than four times the... (answered by josgarithmetic)

There are three consecutive odd integers such that twice their sum is 30 less than 8... (answered by math problem solving)