Generated on Mar 22, 2025, 12:35:05 PMgpt-4o-mini
Let the two consecutive integers be ( x ) and ( x + 1 ). The inequality can be written as:
[ x + (x + 1) < 46 ]
Simplifying this gives:
[ 2x + 1 < 46 ]
Subtracting 1 from both sides:
[ 2x < 45 ]
Dividing by 2:
[ x < 22.5 ]
Since ( x ) must be an integer, the largest possible value for ( x ) is 22. Therefore, the two consecutive integers are 22 and 23.