Given the interval notation (0.029,0.113)
To get the value of p, first get the average of 0.029 and 0.113.
p = (0.029 + 0.113)/2 = 0.071
Now you can you either p-E = 0.029 or p+E = 0.113 to solve for E.
0.071 + E = 0.113
E = 0.042
Therefore p-E < p < p+E is the same as
0.029 < P < 0.113, where p= 0.071