SOLUTION: Solve the following compound inequality. Express your answer in interval notation. then describe what the one-dimentional graph would look like for your solution. 2 < 2x - 5 <

Algebra ->  Inequalities -> SOLUTION: Solve the following compound inequality. Express your answer in interval notation. then describe what the one-dimentional graph would look like for your solution. 2 < 2x - 5 <      Log On


   

Question 100033: Solve the following compound inequality. Express your answer in interval notation. then describe what the one-dimentional graph would look like for your solution.
2 < 2x - 5 < 7
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
2+%3C+2x-5+%3C+7 Start with the given compound inequality



7+%3C+2x+%3C+12 Add 5 to all sides


7%2F2+%3C+x+%3C+6 Divide all sides by 2


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

Answer:

So our answer is

7%2F2+%3C+x+%3C+6



which looks like this in interval notation




if you wanted to graph the solution set, you would get

Graph of the solution set in blue and the excluded values represented by open circles