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

Algebra ->  Inequalities -> 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      Log On


   

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) About Me  (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)
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-2/11<-4/11x
Multiply thru by 11 to get:
-2 < -4x
Divide thru -4 to get:
x < 1/2
(-inf,1/2)
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Cheers,
Stan H.

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
-2%2F11%3C-%284%2F11%29x Start with the given inequality



cross%2811%29%28-2%2Fcross%2811%29%29%3Ccross%2811%29%28-%284%2Fcross%2811%29%29x%29 Multiply both sides by 11.


-2%3C-4x Multiply and simplify


-2%2F-4%3Ex Divide both sides by -4 to isolate x (note: Remember, dividing both sides by a negative number flips the inequality sign)



1%2F2%3Ex Reduce



x%3C1%2F2 Rearrange the inequality


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Answer:
So our answer is x%3C1%2F2 (which is approximately x%3C0.5 in decimal form)



So the answer in interval notation is