SOLUTION: Solve then graph {{{5x+3 >= -37}}} or {{{4x+4 >= -8}}}

Algebra ->  Inequalities -> SOLUTION: Solve then graph {{{5x+3 >= -37}}} or {{{4x+4 >= -8}}}      Log On


   

Question 146193: Solve then graph 5x%2B3+%3E=+-37 or 4x%2B4+%3E=+-8
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
First let's solve 5x%2B3%3E=-37



5x%2B3%3E=-37 Start with the given inequality.


5x%3E=-37-3 Subtract 3 from both sides.


5x%3E=-40 Combine like terms on the right side.


x%3E=%28-40%29%2F%285%29 Divide both sides by 5 to isolate x.


x%3E=-8 Reduce.


So the first part of our answer is x%3E=-8



Here's the graph of the first solution set








Now let's solve 4x%2B4%3E=-8




4x%2B4%3E=-8 Start with the given inequality.


4x%3E=-8-4 Subtract 4 from both sides.


4x%3E=-12 Combine like terms on the right side.


x%3E=%28-12%29%2F%284%29 Divide both sides by 4 to isolate x.


x%3E=-3 Reduce.


So the second part of our answer is x%3E=-3



Here's the graph of the second solution set









---------------------- Summary ----------------------


So together our answers are

x%3E=-8 or x%3E=-3


and their combined graphs make