SOLUTION: y - 5 > -17 Is the answer -12? and I also have to graph this also. Would the graph be an [ on the -12 on the graph line and the arrow point towards minus -13, and -14 ect? Or is i

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons  -> Quadratic Equation Lesson -> SOLUTION: y - 5 > -17 Is the answer -12? and I also have to graph this also. Would the graph be an [ on the -12 on the graph line and the arrow point towards minus -13, and -14 ect? Or is i      Log On


   

Question 143264: y - 5 > -17
Is the answer -12? and I also have to graph this also. Would the graph be an [ on the -12 on the graph line and the arrow point towards minus -13, and -14 ect? Or is it not the [ or a ), ( instead? So cinfused with these. Help please.
Found 2 solutions by jim_thompson5910, solver91311:
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
y-5%3E-17 Start with the given inequality



y%3E-17%2B5Add 5 to both sides


y%3E-12 Combine like terms on the right side

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Answer:
So our answer is y%3E-12


So the answer in interval notation is


note: that means that a "(" would go above the -12 on the graph


Now lets graph the solution set





Start with the given inequality


Plot the point y=-12 on a number line

number_line%28+500%2C+-22%2C+-2%2C+-12+%29


Now plug in y=0 into the inequality





Since is true, this means that we shade the entire region that y=0 is in.


So shade to the right of y=-12 . Note: there is a open circle at y=-12


Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!
You started correctly by adding 5 to both sides of the inequality yielding y%3E-12, read "y is greater than -12" So the answer is NOT -12. In fact, -12 is not in the solution set to this inequality.

Since you have a "greater than" sign (as opposed to a "greater than or equal to" sign), you have to exclude the endpoint, namely -12, therefore on the number line graph you need an open circle. And if you need to express it in interval notation, you will need "(" as opposed to "[" to indicate exclusion of the endpoint.

Since "y is greater than -12" y can be ANYTHING larger. Larger on the number line is ALWAYS to the right. So on the number line you need an open circle at -12 and an arrow that goes to the right. For interval notation: (-12,infinity)