Question 652700
You almost got it, but there's a problem:

"one fourth the sum of three times the number and four" is implying multiplication.  "one-fourth the sum" is "one-fourth OF the sum".  OF means multiply.  So we have:

x < 1/4(3x + 4)

4x < 3x + 4   (multiplied both sides by 4 to get rid of 1/4)
 
x < 4   (subtracted 3x from both sides)