the sum of an integer and the next greater integer is at least 27. find the lesser integer.
x + x + 1 => 27
2x =>26
x => 13
Absolute value
Let's assume the lesser integer is represented by x.
According to the given information, the next greater integer will be (x + 1).
The sum of the two integers is x + (x + 1).
Since the sum is at least 27, we can write it as:
x + (x + 1) ≥ 27
Simplifying the inequality:
2x + 1 ≥ 27
Subtracting 1 from both sides:
2x ≥ 26
Dividing both sides by 2:
x ≥ 13
Therefore, the lesser integer (x) is at least 13.
To find the lesser integer, let's represent the integer as 'x'.
The next greater integer would be 'x + 1'.
According to the given information, the sum of the integer and the next greater integer is at least 27.
So, the equation would be:
x + (x + 1) ≥ 27
Now, let's solve the equation:
2x + 1 ≥ 27
Subtract 1 from both sides:
2x ≥ 26
Divide both sides by 2:
x ≥ 13
Hence, the lesser integer is 13 or any integer greater than 13.