Answer:
In order to satisfy the inequality x has to be less than 7/12.
Explanation:
The inequality is 1/4 + x < 5/6 in order to solve this inequality we need to isolate the value of x, that is our variable of interest. This is shown bellow:
1/4 + x < 5/6
x < 5/6 - 1/4
Applying LMC to subtract the fractions we have:
x < (2*5 - 3*1)/12
x < (10 - 3)/12
x< 7/12
In order to satisfy the inequality x has to be less than 7/12.