SOLUTION: if five times a number is less than four times the number increased by one, what is the largest integer that will satisfy this condition

Question 531028: if five times a number is less than four times the number increased by one, what is the largest integer that will satisfy this condition
Found 2 solutions by lmeeks54, MathTherapy:
Answer by lmeeks54(111) (Show Source): You can put this solution on YOUR website!
Let x = the number to satisfy the inequality
...
Given: 5x < 4(x + 1)
...
5x < 4(x + 1)
5x < 4x + 4
...
subtract 4x from both sides
5x - 4x < 4x - 4x + 4
x < 4
...
x < 4 satisfies the inequality; however, the question asks for the largest integer that satisfies the inequality...
...
Therefore, x must be equal to or less than 3
...
cheers,
Lee
Answer by MathTherapy(10557) (Show Source): You can put this solution on YOUR website!
if five times a number is less than four times the number increased by one, what is the largest integer that will satisfy this condition

Let the number be N

Then: 5N < 4N + 1

5N - 4N < 1

The largest integer that will satisfy this condition is: since this number is the largest integer that's less than 1.

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