Question 652700
The expession does not satify the statement,"One fourth of ...", it should be
(1) x < (1/4)*(3x+4), where you multiply instead of add. Of means multiply.
Now solve (1) for x.
Multiply both sides by 4 and get
(2) 4x < 3x + 4 or
(3) x < 4
Let's check our answer using (1) and x = 4-d, where d is an incrementally small positive value (almost zero), such that d>0, making x < 4
Is (4-d < (1/4)*(3*(4-d) + 4)?
Is (4-d < (1/4)*(12 - 3d +4)?
Is (4-d < (1/4)*(16-3d)?
Is (4-d < 4 - (3/4)d)?
Is ( -d <   -(3/4)d)? or, since d>0
Is ( -1 < -(3/4))? Yes.
Answer: The real number x is less than 4.