SOLUTION: What is the formula used for solving a compound linear inequality, expressing the result as a graph, in set-builder, and interval notation. Thank you so much!! For example: 1

Algebra ->  College  -> Linear Algebra -> SOLUTION: What is the formula used for solving a compound linear inequality, expressing the result as a graph, in set-builder, and interval notation. Thank you so much!! For example: 1      Log On


   



Question 1045181: What is the formula used for solving a compound linear inequality, expressing the result as a graph, in set-builder, and interval notation. Thank you so much!!
For example:
1/2y + 2 > 1/3y - 4

Answer by josgarithmetic(39616) About Me  (Show Source):
You can put this solution on YOUR website!
That is not a compound inequality; but to solve requires the same (almost) properties that you may already know.

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

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

%281%2F2%29y+%2B+2+%3E+%281%2F3%29y+-+4

LCD is 6, so multiply members by 6.

3y%2B12%3E2y-24

Addition Prop of Inqly
3y-2y%2B12%3E2y-24-2y
y%2B12%3E-24
y%2B12-12%3E-24-12
highlight%28y%3E-36%29

All real numbers greater than or equal to negative thirty six.

(-36,infinity)