y-3/2 > 1/2- y-5/4

Question

Solve. I know to multiply by LCD but not sure how to set up?

Answer 1

y - (3/2) > (1/2) - y - (5/4)

 

Multiply all sides of the inequality by the LCD 4. You end up with

 

[4y - 6]/4 > [2 - 4y - 5]/4 =

 

[4y - 6]/4 > [-4y - 3]/4 

 

 

Since the denominator on one side of the inequality is equal to the denominator on the other side of the inequality, we only need to work with the numerators.

 

4y - 6 > -4y - 3

 

8y > 3

 

  y > 3/8

 

 

Answer 2

y- 3/2 > 1/2 -y-5/4

 

y + y > 1/2 -5/4 + 3/2  (put the like terms together)

 

2y > 2/4 -5/4 +6/4        ( the LCD is 4)

 

2y > 3/4                       ( cross multiply 2 and 4)

 

8y/8 > 3/8                    (divide both sides by 8)

 

 

y > 3/8   (Answer)