SOLUTION: Solve: The sum of an integer and the next greater integer is at most 13. Write an inequality to find the lesser integer. Then solve for the lesser integer.

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Question 697186: Solve: The sum of an integer and the next greater integer is at most 13. Write an inequality to find the lesser integer. Then solve for the lesser integer.
Answer by algebrahouse.com(1659) About Me  (Show Source):
You can put this solution on YOUR website!
x = first integer
x + 1 = second integer

x + x + 1 ≤ 13 {sum is at most 13}
2x + 1 ≤ 13 {combined like terms}
2x ≤ 12 {subtracted 1 from each side}
x ≤ 6 {divided each side by 2}

smaller integer is less than or equal to 6

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