SOLUTION: 14.) Solve then graph. y - 6 is greater than -19 The solution is {y l y is greater than ___}

Algebra ->  Algebra  -> Inequalities -> SOLUTION: 14.) Solve then graph. y - 6 is greater than -19 The solution is {y l y is greater than ___}      Log On

Ad: Algebrator™ solves your algebra problems and provides step-by-step explanations!
Ad: Algebra Solved!™: algebra software solves algebra homework problems with step-by-step help!

   


Question 148885: 14.) Solve then graph.
y - 6 is greater than -19
The solution is {y l y is greater than ___}

Answer by jim_thompson5910(21667) About Me  (Show Source):
You can put this solution on YOUR website!
y-6%3E-19 Start with the given inequality.


y%3E-19%2B6 Add 6 to both sides.


y%3E-13 Combine like terms on the right side.


----------------------------------------------------------------------

Answer:

So the answer is y%3E-13




So the solution set is


Which in interval notation is


Here's the graph of the solution set

drawing%28500%2C80%2C-23%2C+-3%2C-10%2C+10%2C%0D%0Anumber_line%28+500%2C+-23%2C+-3%29%2C%0D%0A%0D%0Aarrow%28-13%2C0%2C-3%2C0%29%2C%0D%0Aarrow%28-13%2C0.30%2C-3%2C0.30%29%2C%0D%0Aarrow%28-13%2C0.15%2C-3%2C0.15%29%2C%0D%0Aarrow%28-13%2C-0.15%2C-3%2C-0.15%29%2C%0D%0Aarrow%28-13%2C-0.30%2C-3%2C-0.30%29%2C%0D%0A%0D%0Acircle%28-13%2C0%2C0.3%29%2C%0D%0Acircle%28-13%2C0%2C0.3%29%2C%0D%0Acircle%28-13%2C0%2C0.3%29%2C%0D%0Acircle%28-13%2C0%2C0.3-0.02%29%0D%0A%29