SOLUTION: I always have trouble how to work these out graph the compound inequality 6x+4y<24 OR x-4y>4 THANK YOU!

Algebra ->  Graphs -> SOLUTION: I always have trouble how to work these out graph the compound inequality 6x+4y<24 OR x-4y>4 THANK YOU!      Log On


   

Question 907714: I always have trouble how to work these out
graph the compound inequality
6x+4y<24 OR x-4y>4

THANK YOU!
Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
The conjuction OR would mean "union" of the two separate solutions.

6x+4y<24 OR x-4y>4.

3x%2B2y%3C24
2y%3C-3x%2B24
highlight_green%28y%3C-%283%2F2%29x%2B12%29
OR
-4y%3E-x%2B4
highlight_green%28y%3Cx%2F4-4%29


Each of those is an exclusive inequality, to not include the corresponding line.

This should show a y-intercept of 12 for the part with the negative slope.
graph%28300%2C300%2C-18%2C18%2C-18%2C18%2Cy%3C-%283%2F2%29x%2B12%2Cy%3Cx%2F4-4%29

Try again the graph:
graph%28300%2C300%2C-12%2C12%2C-12%2C12%2Cy%3C-%283%2F2%29x%2B12%2Cy%3Cx%2F4-4%29