
Andrew M. answered 03/30/18
Tutor
New to Wyzant
Mathematics - Algebra a Specialty / F.I.T. Grad - B.S. w/Honors
q - 2/3 < 2 + 3q/4
subtract 3q/4 from both sides
q - 3q/4 - 2/3 < 2
lcd of q and 3q/4 is 4...multiply q by 4/4,
also add 2/3 to both sides
4q/4 - 3q/4 < 2 + 2/3
q/4 < 2 2/3
q/4 < 8/3
multiply both sides by 4
q < 4(8/3)
q < 32/3
q < 10 2/3