The sum of an integer and the next greater integer is at the most 13. Write an inequality to find the lesser integer and solve for the lesser integer.
My answer
n+n+1 <_ 13
n<_6
good job
checking your answer:
n is at most 6, so
6 + 7 ≤ 13 ??, YES
Thanks
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.
To find the lesser integer, we can set up the inequality based on the given conditions.
Let's denote the integer as "n". The next greater integer would then be represented as "n + 1". According to the problem, the sum of "n" and the next greater integer is at most 13.
Mathematically, we can write this as:
n + (n + 1) ≤ 13
Simplifying the inequality:
2n + 1 ≤ 13
Next, we isolate the variable "n" by subtracting 1 from both sides:
2n ≤ 12
Finally, divide both sides of the inequality by 2 to solve for "n":
n ≤ 6
Therefore, the lesser integer "n" must be less than or equal to 6.