Let integers be x, x+1, x+2 and x+3
x < 0.5(x + 3)
x < 0.5x + 1.5
0.5x < 1.5
x < 3
so x = 2 given that they are positive integers
so the largest integer that could be in the set is 2 + 3 = 5 answer
Answer:
5
Step-by-step explanation:
Let the integers be n, n + 1, n + 2, and n + 3. We have
n < 1/2(n+3),
so 2n < n + 3. Subtracting n from both sides yields n < 3. Thus n is at most 2, and hence the largest integer, n + 3, is at most 2 + 3 = 5.