SOLUTION: 4 - 2x > 11 when i subtracted 4 from both sides i got: -2x > 11. then i divided that by -2x on both sides and got x < -3.5 the second part i subtracted 4 from both sides and

Algebra ->  Graphs -> SOLUTION: 4 - 2x > 11 when i subtracted 4 from both sides i got: -2x > 11. then i divided that by -2x on both sides and got x < -3.5 the second part i subtracted 4 from both sides and      Log On


   

Question 180820: 4 - 2x > 11
when i subtracted 4 from both sides i got: -2x > 11. then i divided that by -2x on both sides and got x < -3.5
the second part i subtracted 4 from both sides and got: -2x > -15. then I divided by -2 and got x < 7.5.
How would the graph look like?
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

4-2x%3E11 Start with the given inequality.


-2x%3E11-4 Subtract 4 from both sides.


-2x%3E7 Combine like terms on the right side.


x%3C%287%29%2F%28-2%29 Divide both sides by -2 to isolate x. note: Remember, the inequality sign flips when we divide both sides by a negative number.


x%3C-7%2F2 Reduce.


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Answer:

So the answer is x%3C-7%2F2


Which approximates to x%3C-3.5



So the answer in interval notation is


Also, the answer in set-builder notation is


Here's the graph of the solution set on a number line:

Graph of the solution set where the open circle denotes the excluded value.