SOLUTION: Solve for the inequality. -2/11<-4/11x Optional answers - (11, infinity) (1/2,infinity) (-infinity, 1/2) (1/2, infinity) (-infinity, 2) Thank-you

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Question 132563: Solve for the inequality. -2/11<-4/11x
Optional answers - (11, infinity) (1/2,infinity) (-infinity, 1/2) (1/2, infinity) (-infinity, 2)
Thank-you

Found 2 solutions by stanbon, jim_thompson5910:
Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
Solve for the inequality. -2/11<-4/11x
Optional answers - (11, infinity) (1/2,infinity) (-infinity, 1/2) (1/2, infinity) (-infinity, 2)
------------------------------
-2/11<-4/11x
Multiply thru by 11 to get:
-2 < -4x
Divide thru -4 to get:
x < 1/2
(-inf,1/2)
=============
Cheers,
Stan H.

Answer by jim_thompson5910(35256)   (Show Source): You can put this solution on YOUR website!
Start with the given inequality



Multiply both sides by 11.


Multiply and simplify


Divide both sides by -4 to isolate x (note: Remember, dividing both sides by a negative number flips the inequality sign)



Reduce



Rearrange the inequality


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Answer:
So our answer is (which is approximately in decimal form)



So the answer in interval notation is

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