Given that the lengths of the three sides of the triangle ABC are a + 1, 2a-1 and a + 4, then the value range of a is

Given that the lengths of the three sides of the triangle ABC are a + 1, 2a-1 and a + 4, then the value range of a is

The sum of the two sides is greater than the third side
So a + 1 + 2a-1 > A + 4
a+1+a+4>2a-1
a+1+2a-1>a+4
3a>a+4
a>2
a+1+a+4>2a-1
2A + 5 > 2a-1
So a > 2