4x+10 >= 11
4x+10-10 >= 11-10 .... subtract 10 from both sides
4x >= 1
4x/4 >= 1/4 .... divide both sides by 4
x >= 1/4
x >= 0.25
This means x must be 0.25 or larger. The next integer closest to 0.25, that is above 0.25, is the value 1.
So x = 1 is the smallest integer solution possible.
