In a set of four consecutive positive integers, the smallest integer is less than half the largest integer. what is the largest integer that could be in the set?

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