A few days ago

mila KZ

Math question?

need the steps of solving but be careful the sign (<_ it is a < with line under it) 18-2y /4>3/2(y+1/3)>_3/2-1/2y

(a sign > but under it there is a line _)

the answer is 2>y>_1/2 or 1/2<_y<3

Top 2 Answers

A few days ago

Eric212

Favorite Answer

18-2y /4>3/2(y+1/3)>_3/2-1/2y

is really two different inequalities:

18-2y /4>3/2(y+1/3) and 3/2(y+1/3)>_3/2-1/2y

let’s solve them that way to avoid confusion:

18-2y /4>3/2(y+1/3)

18-2y > 4*3/2(y+1/3)

18-2y > 6(y+1/3)

18-2y > 6y + 6/3

18-2y > 6y + 2

18> 6y+2y +2

18-2>8y

16>8y

2>y

3/2(y+1/3)>=3/2-1/2y

3/2(y+1/3) +1/2y>=3/2

(3/2+1/2)y + 3/2*1/3 >=3/2

4/2y + 1/2 >= 3/2

2y + 1/2 >= 3/2

2y>= 3/2 – 1/2

2y >= 2/2

2y >= 1

y >= 1/2

2>y>=1/2

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