Which is the solution to the inequality? One-fourth + x less-than StartFraction 5 over 6 EndFraction

In order to satisfy the inequality x has to be less than 7/12.

Step-by-step 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.

A) x < 7/12