SOLUTION: four times the sum of a number and five is less than six times the number. Find the smallest integer that satisfies the inequality. So would it be written: 4(x+5)<6x I have

Algebra ->  Inequalities -> SOLUTION: four times the sum of a number and five is less than six times the number. Find the smallest integer that satisfies the inequality. So would it be written: 4(x+5)<6x I have      Log On


   



Question 664965: four times the sum of a number and five is less than six times the number. Find the smallest integer that satisfies the inequality.
So would it be written: 4(x+5)<6x
I have tried substituting x with one and two but I keep getting the wrong answer. The answer is eleven but I do not know how to get there.

Found 2 solutions by ewatrrr, vleith:
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 
Hi,
four times the sum of a numberhighlight%28x%29 and five is less than six times the number
Question states***
4(x + 5) < 6x
4x + 20 < 6x
20 < 2x 0r x+%3E+10. Smallest 'Integer' that would work is x = 11

Answer by vleith(2983) About Me  (Show Source):
You can put this solution on YOUR website!
4%28x%2B5%29%3C6x so far so good
4x+%2B+20+%3C+6x
20+%3C+2x
10+%3C+x
or written the other way x+%3E+10
What is the smallest integer greater than 10?